10102101102120 has 64 divisors (see below), whose sum is σ = 30307259304000. Its totient is φ = 2693808649728.

The previous prime is 10102101102109. The next prime is 10102101102187. The reversal of 10102101102120 is 2120110120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102101102096 and 10102101102105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538951 + ... + 5162409.

It is an arithmetic number, because the mean of its divisors is an integer number (473550926625).

Almost surely, 2^{10102101102120} is an apocalyptic number.

10102101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102101102120 is an abundant number, since it is smaller than the sum of its proper divisors (20205158201880).

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

10102101102120 is a wasteful number, since it uses less digits than its factorization.

10102101102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655562 (or 2655558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102101102120 its reverse (2120110120101), we get a palindrome (12222211222221).

The spelling of 10102101102120 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred two thousand, one hundred twenty".