102202121101010 has 96 divisors (see below), whose sum is σ = 226590986297520. Its totient is φ = 32978911408128.

The previous prime is 102202121101009. The next prime is 102202121101033. The reversal of 102202121101010 is 10101121202201.

It can be written as a sum of positive squares in 8 ways, for example, as 67115204757769 + 35086916343241 = 8192387^2 + 5923421^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 868202036 + ... + 868319744.

Almost surely, 2^{102202121101010} is an apocalyptic number.

102202121101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102202121101010 is an abundant number, since it is smaller than the sum of its proper divisors (124388865196510).

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

102202121101010 is a wasteful number, since it uses less digits than its factorization.

102202121101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221980 (or 221973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102202121101010 its reverse (10101121202201), we get a palindrome (112303242303211).

The spelling of 102202121101010 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand, ten".