100101121112120 has 32 divisors (see below), whose sum is σ = 225228519241920. Its totient is φ = 40040271246720.

The previous prime is 100101121112053. The next prime is 100101121112177. The reversal of 100101121112120 is 21211121101001.

It is a super-2 number, since 2×100101121112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101121112095 and 100101121112104.

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, 3808865 + ... + 14652975.

It is an arithmetic number, because the mean of its divisors is an integer number (7038391226310).

Almost surely, 2^{100101121112120} is an apocalyptic number.

100101121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101121112120 is an abundant number, since it is smaller than the sum of its proper divisors (125127398129800).

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

100101121112120 is a wasteful number, since it uses less digits than its factorization.

100101121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074895 (or 11074891 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100101121112120 its reverse (21211121101001), we get a palindrome (121312242213121).

The spelling of 100101121112120 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".