102121100200 has 48 divisors (see below), whose sum is σ = 271350355680. Its totient is φ = 35012948160.

The previous prime is 102121100189. The next prime is 102121100219. The reversal of 102121100200 is 2001121201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36470422 + ... + 36473221.

It is an arithmetic number, because the mean of its divisors is an integer number (5653132410).

Almost surely, 2^102121100200 is an apocalyptic number.

102121100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121100200 is an abundant number, since it is smaller than the sum of its proper divisors (169229255480).

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

102121100200 is a wasteful number, since it uses less digits than its factorization.

102121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72943666 (or 72943657 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102121100200 its reverse (2001121201), we get a palindrome (104122221401).

The spelling of 102121100200 in words is "one hundred two billion, one hundred twenty-one million, one hundred thousand, two hundred".