102121112100200 has 48 divisors (see below), whose sum is σ = 237475565100000. Its totient is φ = 40840878480320.

The previous prime is 102121112100199. The next prime is 102121112100221. The reversal of 102121112100200 is 2001211121201.

It is a super-2 number, since 2×102121112100200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46207250 + ... + 48366849.

It is an arithmetic number, because the mean of its divisors is an integer number (4947407606250).

Almost surely, 2^{102121112100200} is an apocalyptic number.

102121112100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121112100200 is an abundant number, since it is smaller than the sum of its proper divisors (135354452999800).

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

102121112100200 is a wasteful number, since it uses less digits than its factorization.

102121112100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94579514 (or 94579505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121112100200 its reverse (2001211121201), we get a palindrome (104122323221401).

The spelling of 102121112100200 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thousand, two hundred".