102200121220100 has 72 divisors (see below), whose sum is σ = 224426289735648. Its totient is φ = 40393874310400.

The previous prime is 102200121220081. The next prime is 102200121220123. The reversal of 102200121220100 is 1022121002201.

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, 13689194 + ... + 19793793.

It is an arithmetic number, because the mean of its divisors is an integer number (3117031801884).

Almost surely, 2^{102200121220100} is an apocalyptic number.

102200121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200121220100 is an abundant number, since it is smaller than the sum of its proper divisors (122226168515548).

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

102200121220100 is a wasteful number, since it uses less digits than its factorization.

102200121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33483365 (or 33483358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102200121220100 its reverse (1022121002201), we get a palindrome (103222242222301).

The spelling of 102200121220100 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".