10102102120 has 32 divisors (see below), whose sum is σ = 24796069920. Its totient is φ = 3673491520.

The previous prime is 10102102099. The next prime is 10102102123. The reversal of 10102102120 is 2120120101.

It is a super-3 number, since 3×10102102120³ (a number of 31 digits) contains 333 as substring.

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 = 10102102097 and 10102102106.

It is not an unprimeable number, because it can be changed into a prime (10102102123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11479222 + ... + 11480101.

It is an arithmetic number, because the mean of its divisors is an integer number (774877185).

Almost surely, 2^10102102120 is an apocalyptic number.

10102102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102102120 is an abundant number, since it is smaller than the sum of its proper divisors (14693967800).

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

10102102120 is a wasteful number, since it uses less digits than its factorization.

10102102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22959345 (or 22959341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102102120 its reverse (2120120101), we get a palindrome (12222222221).

The spelling of 10102102120 in words is "ten billion, one hundred two million, one hundred two thousand, one hundred twenty".