100111002010120 has 32 divisors (see below), whose sum is σ = 225269669761920. Its totient is φ = 40040860317120.

The previous prime is 100111002010093. The next prime is 100111002010169. The reversal of 100111002010120 is 21010200111001.

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 = 100111002010097 and 100111002010106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110182122 + ... + 111087001.

It is an arithmetic number, because the mean of its divisors is an integer number (7039677180060).

Almost surely, 2^{100111002010120} is an apocalyptic number.

100111002010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111002010120 is an abundant number, since it is smaller than the sum of its proper divisors (125158667751800).

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

100111002010120 is a wasteful number, since it uses less digits than its factorization.

100111002010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221280445 (or 221280441 counting only the distinct ones).

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

Adding to 100111002010120 its reverse (21010200111001), we get a palindrome (121121202121121).

The spelling of 100111002010120 in words is "one hundred trillion, one hundred eleven billion, two million, ten thousand, one hundred twenty".