102100222200100 has 72 divisors (see below), whose sum is σ = 221875649049600. Its totient is φ = 40781464416000.

The previous prime is 102100222200089. The next prime is 102100222200121. The reversal of 102100222200100 is 1002222001201.

It is a happy 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, 348793800 + ... + 349086400.

It is an arithmetic number, because the mean of its divisors is an integer number (3081606236800).

Almost surely, 2^{102100222200100} is an apocalyptic number.

102100222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100222200100 is an abundant number, since it is smaller than the sum of its proper divisors (119775426849500).

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

102100222200100 is a wasteful number, since it uses less digits than its factorization.

102100222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297613 (or 297606 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100222200100 its reverse (1002222001201), we get a palindrome (103102444201301).

The spelling of 102100222200100 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, one hundred".