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100121200221020 = 225114311393660499
BaseRepresentation
bin10110110000111101001000…
…100100101101101101011100
3111010111111022120220200111112
4112300331020210231231130
5101110341204224033040
6552535013332041152
730042342451053266
oct2660751044555534
9433444276820445
10100121200221020
11299a11874090a0
12b2901ab4631b8
1343b3508ba1264
141aa1c6b704b36
15b895aed06365
hex5b0f4892db5c

100121200221020 has 96 divisors (see below), whose sum is σ = 236779738272000. Its totient is φ = 35246318607360.

The previous prime is 100121200221013. The next prime is 100121200221059. The reversal of 100121200221020 is 20122002121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121200220986 and 100121200221004.

It is a congruent number.

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, 45761270 + ... + 47899229.

It is an arithmetic number, because the mean of its divisors is an integer number (2466455607000).

Almost surely, 2100121200221020 is an apocalyptic number.

100121200221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121200221020 is an abundant number, since it is smaller than the sum of its proper divisors (136658538050980).

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

100121200221020 is a wasteful number, since it uses less digits than its factorization.

100121200221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93660675 (or 93660673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121200221020 its reverse (20122002121001), we get a palindrome (120243202342021).

The spelling of 100121200221020 in words is "one hundred trillion, one hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 113 172 215 220 226 430 452 473 565 860 946 1130 1243 1892 2260 2365 2486 4730 4859 4972 6215 9460 9718 12430 19436 24295 24860 48590 53449 97180 106898 213796 267245 534490 1068980 93660499 187320998 374641996 468302495 936604990 1030265489 1873209980 2060530978 4027401457 4121061956 5151327445 8054802914 10302654890 10583636387 16109605828 20137007285 20605309780 21167272774 40274014570 42334545548 44301416027 52918181935 80548029140 88602832054 105836363870 116420000257 177205664108 211672727740 221507080135 232840000514 443014160270 455096364641 465680001028 582100001285 886028320540 910192729282 1164200002570 1820385458564 2275481823205 2328400005140 4550963646410 5006060011051 9101927292820 10012120022102 20024240044204 25030300055255 50060600110510 100121200221020