102020122210120 has 64 divisors (see below), whose sum is σ = 232786661322240. Its totient is φ = 40231843680000.

The previous prime is 102020122210117. The next prime is 102020122210147. The reversal of 102020122210120 is 21012221020201.

It is a happy number.

It is a super-2 number, since 2×102020122210120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102020122210094 and 102020122210103.

It is an unprimeable number.

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, 80289745 + ... + 81550495.

It is an arithmetic number, because the mean of its divisors is an integer number (3637291583160).

Almost surely, 2^{102020122210120} is an apocalyptic number.

102020122210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020122210120 is an abundant number, since it is smaller than the sum of its proper divisors (130766539112120).

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

102020122210120 is a wasteful number, since it uses less digits than its factorization.

102020122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289326 (or 1289322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102020122210120 its reverse (21012221020201), we get a palindrome (123032343230321).

The spelling of 102020122210120 in words is "one hundred two trillion, twenty billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".