101022102120 has 32 divisors (see below), whose sum is σ = 303066306720. Its totient is φ = 26939227200.

The previous prime is 101022102109. The next prime is 101022102131. The reversal of 101022102120 is 21201220101.

It is an interprime number because it is at equal distance from previous prime (101022102109) and next prime (101022102131).

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 = 101022102096 and 101022102105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420925306 + ... + 420925545.

It is an arithmetic number, because the mean of its divisors is an integer number (9470822085).

Almost surely, 2^101022102120 is an apocalyptic number.

101022102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022102120 is an abundant number, since it is smaller than the sum of its proper divisors (202044204600).

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

101022102120 is a wasteful number, since it uses less digits than its factorization.

101022102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841850865 (or 841850861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022102120 its reverse (21201220101), we get a palindrome (122223322221).

The spelling of 101022102120 in words is "one hundred one billion, twenty-two million, one hundred two thousand, one hundred twenty".