102202121122000 has 40 divisors (see below), whose sum is σ = 247124728877832. Its totient is φ = 40880848448000.

The previous prime is 102202121121979. The next prime is 102202121122139. The reversal of 102202121122000 is 221121202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 749443415616 + 101452677706384 = 865704^2 + 10072372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25550528281 + ... + 25550532280.

Almost surely, 2^{102202121122000} is an apocalyptic number.

102202121122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202121122000 is an abundant number, since it is smaller than the sum of its proper divisors (144922607755832).

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

102202121122000 is an equidigital number, since it uses as much as digits as its factorization.

102202121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51101060584 (or 51101060568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202121122000 its reverse (221121202201), we get a palindrome (102423242324201).

The spelling of 102202121122000 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand".