100111022102120 has 64 divisors (see below), whose sum is σ = 225508715089920. Its totient is φ = 39998397095424.

The previous prime is 100111022102089. The next prime is 100111022102123. The reversal of 100111022102120 is 21201220111001.

It is a junction number, because it is equal to n+sod(n) for n = 100111022102095 and 100111022102104.

It is not an unprimeable number, because it can be changed into a prime (100111022102123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 182957177 + ... + 183503543.

It is an arithmetic number, because the mean of its divisors is an integer number (3523573673280).

Almost surely, 2^{100111022102120} is an apocalyptic number.

100111022102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111022102120 is an abundant number, since it is smaller than the sum of its proper divisors (125397692987800).

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

100111022102120 is a wasteful number, since it uses less digits than its factorization.

100111022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551634 (or 551630 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100111022102120 its reverse (21201220111001), we get a palindrome (121312242213121).

The spelling of 100111022102120 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one hundred two thousand, one hundred twenty".