100020112101120 has 72 divisors (see below), whose sum is σ = 319439233035216. Its totient is φ = 26672029892608.

The previous prime is 100020112101103. The next prime is 100020112101181. The reversal of 100020112101120 is 21101211020001.

It is a super-2 number, since 2×100020112101120² (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 = 100020112101096 and 100020112101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13023448257 + ... + 13023455936.

It is an arithmetic number, because the mean of its divisors is an integer number (4436656014378).

Almost surely, 2^{100020112101120} is an apocalyptic number.

100020112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020112101120 is an abundant number, since it is smaller than the sum of its proper divisors (219419120934096).

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

100020112101120 is an equidigital number, since it uses as much as digits as its factorization.

100020112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26046904217 (or 26046904203 counting only the distinct ones).

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

Adding to 100020112101120 its reverse (21101211020001), we get a palindrome (121121323121121).

The spelling of 100020112101120 in words is "one hundred trillion, twenty billion, one hundred twelve million, one hundred one thousand, one hundred twenty".