102222021202000 has 120 divisors (see below), whose sum is σ = 287527598116200. Its totient is φ = 35047550092800.

The previous prime is 102222021201991. The next prime is 102222021202013. The reversal of 102222021202000 is 202120222201.

It can be written as a sum of positive squares in 4 ways, for example, as 4487601612816 + 97734419589184 = 2118396^2 + 9886072^2 .

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 23 ways as a sum of consecutive naturals, for example, 521442925 + ... + 521638924.

It is an arithmetic number, because the mean of its divisors is an integer number (2396063317635).

Almost surely, 2^{102222021202000} is an apocalyptic number.

102222021202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222021202000 is an abundant number, since it is smaller than the sum of its proper divisors (185305576914200).

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

102222021202000 is a wasteful number, since it uses less digits than its factorization.

102222021202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043081886 (or 1043081863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102222021202000 its reverse (202120222201), we get a palindrome (102424141424201).

The spelling of 102222021202000 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-one million, two hundred two thousand".