102202020100 has 18 divisors (see below), whose sum is σ = 221778383834. Its totient is φ = 40880808000.

The previous prime is 102202020073. The next prime is 102202020127. The reversal of 102202020100 is 1020202201.

It is an interprime number because it is at equal distance from previous prime (102202020073) and next prime (102202020127).

It can be written as a sum of positive squares in 3 ways, for example, as 1602756 + 102200417344 = 1266^2 + 319688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511010001 + ... + 511010200.

Almost surely, 2^102202020100 is an apocalyptic number.

102202020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202020100 is an abundant number, since it is smaller than the sum of its proper divisors (119576363734).

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

102202020100 is a wasteful number, since it uses less digits than its factorization.

102202020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022020215 (or 1022020208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102202020100 its reverse (1020202201), we get a palindrome (103222222301).

It can be divided in two parts, 102 and 202020100, that added together give a palindrome (202020202).

The spelling of 102202020100 in words is "one hundred two billion, two hundred two million, twenty thousand, one hundred".