102002022100 has 72 divisors (see below), whose sum is σ = 241942327200. Its totient is φ = 37018569600.

The previous prime is 102002022097. The next prime is 102002022137. The reversal of 102002022100 is 1220200201.

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 23 ways as a sum of consecutive naturals, for example, 468811 + ... + 650989.

It is an arithmetic number, because the mean of its divisors is an integer number (3360310100).

Almost surely, 2^102002022100 is an apocalyptic number.

102002022100 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 102002022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120971163600).

102002022100 is an abundant number, since it is smaller than the sum of its proper divisors (139940305100).

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

102002022100 is a wasteful number, since it uses less digits than its factorization.

102002022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182713 (or 182706 counting only the distinct ones).

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

Adding to 102002022100 its reverse (1220200201), we get a palindrome (103222222301).

The spelling of 102002022100 in words is "one hundred two billion, two million, twenty-two thousand, one hundred".