102201122100 has 144 divisors (see below), whose sum is σ = 368667403776. Its totient is φ = 21236592000.

The previous prime is 102201121993. The next prime is 102201122123. The reversal of 102201122100 is 1221102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189046 + ... + 2235245.

It is an arithmetic number, because the mean of its divisors is an integer number (2560190304).

Almost surely, 2^102201122100 is an apocalyptic number.

102201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201122100 is an abundant number, since it is smaller than the sum of its proper divisors (266466281676).

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

102201122100 is a wasteful number, since it uses less digits than its factorization.

102201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424326 (or 4424319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201122100 its reverse (1221102201), we get a palindrome (103422224301).

The spelling of 102201122100 in words is "one hundred two billion, two hundred one million, one hundred twenty-two thousand, one hundred".