102220021201200 has 240 divisors, whose sum is σ = 396235726433280. Its totient is φ = 21990189404160.

The previous prime is 102220021201189. The next prime is 102220021201253. The reversal of 102220021201200 is 2102120022201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102220021201200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357770440 + ... + 358056039.

It is an arithmetic number, because the mean of its divisors is an integer number (1650982193472).

Almost surely, 2^{102220021201200} is an apocalyptic number.

102220021201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220021201200 is an abundant number, since it is smaller than the sum of its proper divisors (294015705232080).

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

102220021201200 is a wasteful number, since it uses less digits than its factorization.

102220021201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715826524 (or 715826513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220021201200 its reverse (2102120022201), we get a palindrome (104322141223401).

The spelling of 102220021201200 in words is "one hundred two trillion, two hundred twenty billion, twenty-one million, two hundred one thousand, two hundred".