102113221200000 has 192 divisors, whose sum is σ = 339026109690240. Its totient is φ = 27230192000000.

The previous prime is 102113221199947. The next prime is 102113221200031. The reversal of 102113221200000 is 2122311201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 41347176 + ... + 43747175.

It is an arithmetic number, because the mean of its divisors is an integer number (1765760987970).

Almost surely, 2^{102113221200000} is an apocalyptic number.

102113221200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113221200000 is an abundant number, since it is smaller than the sum of its proper divisors (236912888490240).

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

102113221200000 is an frugal number, since it uses more digits than its factorization.

102113221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85094393 (or 85094361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102113221200000 its reverse (2122311201), we get a palindrome (102115343511201).

The spelling of 102113221200000 in words is "one hundred two trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred thousand".