102121101101200 has 120 divisors (see below), whose sum is σ = 258922801987200. Its totient is φ = 38599039342080.

The previous prime is 102121101101177. The next prime is 102121101101209. The reversal of 102121101101200 is 2101101121201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102121101101209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14314792 + ... + 20227591.

It is an arithmetic number, because the mean of its divisors is an integer number (2157690016560).

Almost surely, 2^{102121101101200} is an apocalyptic number.

102121101101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121101101200 is an abundant number, since it is smaller than the sum of its proper divisors (156801700886000).

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

102121101101200 is a wasteful number, since it uses less digits than its factorization.

102121101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34542809 (or 34542798 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121101101200 its reverse (2101101121201), we get a palindrome (104222202222401).

The spelling of 102121101101200 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, two hundred".