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100101110021220 = 2235711101563381037
BaseRepresentation
bin10110110000101010011011…
…000110101011110001100100
3111010102120110110122210101110
4112300222123012223301210
5101110024033131134340
6552521452021225020
730041031552142230
oct2660523306536144
9433376413583343
10100101110021220
1129993707a81690
12b288323262170
1343b1656904779
141aa0cc345d5c0
15b88cd61be680
hex5b0a9b1abc64

100101110021220 has 384 divisors, whose sum is σ = 353531470344192. Its totient is φ = 20557654272000.

The previous prime is 100101110021179. The next prime is 100101110021273. The reversal of 100101110021220 is 22120011101001.

It is a super-2 number, since 2×1001011100212202 (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 a junction number, because it is equal to n+sod(n) for n = 100101110021196 and 100101110021205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262516542 + ... + 262897578.

It is an arithmetic number, because the mean of its divisors is an integer number (920654870688).

Almost surely, 2100101110021220 is an apocalyptic number.

100101110021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101110021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176765735172096).

100101110021220 is an abundant number, since it is smaller than the sum of its proper divisors (253430360322972).

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

100101110021220 is a wasteful number, since it uses less digits than its factorization.

100101110021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381731 (or 381729 counting only the distinct ones).

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

Adding to 100101110021220 its reverse (22120011101001), we get a palindrome (122221121122221).

The spelling of 100101110021220 in words is "one hundred trillion, one hundred one billion, one hundred ten million, twenty-one thousand, two hundred twenty".