102202211021000 has 32 divisors (see below), whose sum is σ = 239153173791480. Its totient is φ = 40880884408000.

The previous prime is 102202211020967. The next prime is 102202211021003. The reversal of 102202211021000 is 120112202201.

It can be written as a sum of positive squares in 4 ways, for example, as 3380280810916 + 98821930210084 = 1838554^2 + 9940922^2 .

It is not an unprimeable number, because it can be changed into a prime (102202211021003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51101104511 + ... + 51101106510.

Almost surely, 2^{102202211021000} is an apocalyptic number.

102202211021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202211021000 is an abundant number, since it is smaller than the sum of its proper divisors (136950962770480).

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

102202211021000 is a wasteful number, since it uses less digits than its factorization.

102202211021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102202211042 (or 102202211028 counting only the distinct ones).

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

Adding to 102202211021000 its reverse (120112202201), we get a palindrome (102322323223201).

The spelling of 102202211021000 in words is "one hundred two trillion, two hundred two billion, two hundred eleven million, twenty-one thousand".