102202212111012 has 72 divisors (see below), whose sum is σ = 278238536055480. Its totient is φ = 31444415308800.

The previous prime is 102202212110939. The next prime is 102202212111029. The reversal of 102202212111012 is 210111212202201.

102202212111012 is a `hidden beast` number, since 1 + 0 + 220 + 221 + 211 + 1 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7107417368676 + 95094794742336 = 2665974^2 + 9751656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2305239 + ... + 14481662.

Almost surely, 2^{102202212111012} is an apocalyptic number.

102202212111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202212111012 is an abundant number, since it is smaller than the sum of its proper divisors (176036323944468).

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

102202212111012 is a wasteful number, since it uses less digits than its factorization.

102202212111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16799933 (or 16799928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102202212111012 its reverse (210111212202201), we get a palindrome (312313424313213).

The spelling of 102202212111012 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, one hundred eleven thousand, twelve".