10102111122120 has 32 divisors (see below), whose sum is σ = 30306333366720. Its totient is φ = 2693896299200.

The previous prime is 10102111122119. The next prime is 10102111122157. The reversal of 10102111122120 is 2122111120101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102111122120.

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, 42092129556 + ... + 42092129795.

It is an arithmetic number, because the mean of its divisors is an integer number (947072917710).

Almost surely, 2^{10102111122120} is an apocalyptic number.

10102111122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102111122120 is an abundant number, since it is smaller than the sum of its proper divisors (20204222244600).

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

10102111122120 is a wasteful number, since it uses less digits than its factorization.

10102111122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84184259365 (or 84184259361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10102111122120 its reverse (2122111120101), we get a palindrome (12224222242221).

The spelling of 10102111122120 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".