102122202020 has 96 divisors (see below), whose sum is σ = 227985408000. Its totient is φ = 38341125504.

The previous prime is 102122202019. The next prime is 102122202031. The reversal of 102122202020 is 20202221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122201986 and 102122202004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16470881 + ... + 16477079.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848000).

Almost surely, 2^102122202020 is an apocalyptic number.

102122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704000).

102122202020 is an abundant number, since it is smaller than the sum of its proper divisors (125863205980).

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

102122202020 is a wasteful number, since it uses less digits than its factorization.

102122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102122202020 its reverse (20202221201), we get a palindrome (122324423221).

The spelling of 102122202020 in words is "one hundred two billion, one hundred twenty-two million, two hundred two thousand, twenty".