102100022000220 has 48 divisors (see below), whose sum is σ = 293606549758368. Its totient is φ = 26490816518400.

The previous prime is 102100022000159. The next prime is 102100022000237. The reversal of 102100022000220 is 22000220001201.

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 = 102100022000196 and 102100022000205.

It is a congruent number.

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, 22995498231 + ... + 22995502670.

It is an arithmetic number, because the mean of its divisors is an integer number (6116803119966).

Almost surely, 2^{102100022000220} is an apocalyptic number.

102100022000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100022000220 is an abundant number, since it is smaller than the sum of its proper divisors (191506527758148).

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

102100022000220 is a wasteful number, since it uses less digits than its factorization.

102100022000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45991000950 (or 45991000948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102100022000220 its reverse (22000220001201), we get a palindrome (124100242001421).

The spelling of 102100022000220 in words is "one hundred two trillion, one hundred billion, twenty-two million, two hundred twenty", and thus it is an aban number.