102121211120200 has 96 divisors (see below), whose sum is σ = 250207958612160. Its totient is φ = 38685607136000.

The previous prime is 102121211120197. The next prime is 102121211120281. The reversal of 102121211120200 is 2021112121201.

102121211120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 109437694 + ... + 110366893.

It is an arithmetic number, because the mean of its divisors is an integer number (2606332902210).

Almost surely, 2^{102121211120200} is an apocalyptic number.

102121211120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121211120200 is an abundant number, since it is smaller than the sum of its proper divisors (148086747491960).

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

102121211120200 is a wasteful number, since it uses less digits than its factorization.

102121211120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219804727 (or 219804718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102121211120200 its reverse (2021112121201), we get a palindrome (104142323241401).

The spelling of 102121211120200 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, two hundred".