102002202100 has 18 divisors (see below), whose sum is σ = 221344778774. Its totient is φ = 40800880800.

The previous prime is 102002202091. The next prime is 102002202143. The reversal of 102002202100 is 1202200201.

It can be written as a sum of positive squares in 3 ways, for example, as 29225270116 + 72776931984 = 170954^2 + 269772^2 .

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

It is a congruent number.

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, 510010911 + ... + 510011110.

Almost surely, 2^102002202100 is an apocalyptic number.

102002202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002202100 is an abundant number, since it is smaller than the sum of its proper divisors (119342576674).

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

102002202100 is a wasteful number, since it uses less digits than its factorization.

102002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020022035 (or 1020022028 counting only the distinct ones).

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

Adding to 102002202100 its reverse (1202200201), we get a palindrome (103204402301).

The spelling of 102002202100 in words is "one hundred two billion, two million, two hundred two thousand, one hundred".