102202122122000 has 80 divisors (see below), whose sum is σ = 251313286348800. Its totient is φ = 40187953059200.

The previous prime is 102202122121973. The next prime is 102202122122201. The reversal of 102202122122000 is 221221202201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102202122122000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432941840 + ... + 433177839.

It is an arithmetic number, because the mean of its divisors is an integer number (3141416079360).

Almost surely, 2^{102202122122000} is an apocalyptic number.

102202122122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202122122000 is an abundant number, since it is smaller than the sum of its proper divisors (149111164226800).

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

102202122122000 is an equidigital number, since it uses as much as digits as its factorization.

102202122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866119761 (or 866119745 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102202122122000 its reverse (221221202201), we get a palindrome (102423343324201).

The spelling of 102202122122000 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand".