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101021110120 = 23572731132109
BaseRepresentation
bin101111000010101010…
…0111100111101101000
3100122202100001010000001
41132011110330331220
53123342401010440
6114224120552344
710204253160640
oct1360524747550
9318670033001
10101021110120
113992a868267
12176b39226b4
1396ac22b408
144c64905520
152963bdab9a
hex178553cf68

101021110120 has 64 divisors (see below), whose sum is σ = 259865654400. Its totient is φ = 34622864640.

The previous prime is 101021110067. The next prime is 101021110133. The reversal of 101021110120 is 21011120101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101021110097 and 101021110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698626 + ... + 830734.

It is an arithmetic number, because the mean of its divisors is an integer number (4060400850).

Almost surely, 2101021110120 is an apocalyptic number.

101021110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021110120 is an abundant number, since it is smaller than the sum of its proper divisors (158844544280).

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

101021110120 is a wasteful number, since it uses less digits than its factorization.

101021110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134858 (or 134854 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021110120 its reverse (21011120101), we get a palindrome (122032230221).

The spelling of 101021110120 in words is "one hundred one billion, twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2731 5462 10924 13655 19117 21848 27310 38234 54620 76468 95585 109240 132109 152936 191170 264218 382340 528436 660545 764680 924763 1056872 1321090 1849526 2642180 3699052 4623815 5284360 7398104 9247630 18495260 36990520 360789679 721579358 1443158716 1803948395 2525527753 2886317432 3607896790 5051055506 7215793580 10102111012 12627638765 14431587160 20204222024 25255277530 50510555060 101021110120