102110202202112 has 96 divisors (see below), whose sum is σ = 219967081752600. Its totient is φ = 47108257480704.

The previous prime is 102110202202061. The next prime is 102110202202153. The reversal of 102110202202112 is 211202202011201.

It can be written as a sum of positive squares in 4 ways, for example, as 101688346756096 + 421855446016 = 10084064^2 + 649504^2 .

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, 63556814 + ... + 65143602.

Almost surely, 2^{102110202202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109983540876300).

102110202202112 is an abundant number, since it is smaller than the sum of its proper divisors (117856879550488).

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

102110202202112 is a wasteful number, since it uses less digits than its factorization.

102110202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589241 (or 1589221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102110202202112 its reverse (211202202011201), we get a palindrome (313312404213313).

The spelling of 102110202202112 in words is "one hundred two trillion, one hundred ten billion, two hundred two million, two hundred two thousand, one hundred twelve".