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101120122101000 = 2335337910992091
BaseRepresentation
bin10110111111011111011100…
…111101010001110100001000
3111021000222201011122221100110
4112333133130331101310020
5101223223002224213000
6555021535350434320
730204454614665262
oct2677373475216410
9437028634587313
10101120122101000
112a246891803502
12b4119103629a0
1344567819aa152
141ad83508a6b32
15ba5576aa9850
hex5bf7dcf51d08

101120122101000 has 128 divisors (see below), whose sum is σ = 324021667282560. Its totient is φ = 26236572192000.

The previous prime is 101120122100989. The next prime is 101120122101043. The reversal of 101120122101000 is 101221021101.

It is a super-2 number, since 2×1011201221010002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455385046 + ... + 455607045.

It is an arithmetic number, because the mean of its divisors is an integer number (2531419275645).

Almost surely, 2101120122101000 is an apocalyptic number.

101120122101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120122101000 is an abundant number, since it is smaller than the sum of its proper divisors (222901545181560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101120122101000 is a wasteful number, since it uses less digits than its factorization.

101120122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910992152 (or 910992138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120122101000 its reverse (101221021101), we get a palindrome (101221343122101).

The spelling of 101120122101000 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 910992091 1821984182 2732976273 3643968364 4554960455 5465952546 7287936728 9109920910 10931905092 13664881365 18219841820 21863810184 22774802275 27329762730 33706707367 36439683640 45549604550 54659525460 67413414734 68324406825 91099209100 101120122101 109319050920 113874011375 134826829468 136648813650 168533536835 182198418200 202240244202 227748022750 269653658936 273297627300 337067073670 341622034125 404480488404 455496045500 505600610505 546595254600 674134147340 683244068250 808960976808 842667684175 910992091000 1011201221010 1348268294680 1366488136500 1685335368350 2022402442020 2528003052525 2732976273000 3370670736700 4044804884040 4213338420875 5056006105050 6741341473400 8426676841750 10112012210100 12640015262625 16853353683500 20224024420200 25280030525250 33706707367000 50560061050500 101120122101000