202002101210112 has 176 divisors, whose sum is σ = 615399434813952. Its totient is φ = 57707890606080.

The previous prime is 202002101210057. The next prime is 202002101210113. The reversal of 202002101210112 is 211012101200202.

It is a junction number, because it is equal to n+sod(n) for n = 202002101210091 and 202002101210100.

It is not an unprimeable number, because it can be changed into a prime (202002101210113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178154608 + ... + 179284880.

Almost surely, 2^{202002101210112} 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 202002101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307699717406976).

202002101210112 is an abundant number, since it is smaller than the sum of its proper divisors (413397333603840).

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

202002101210112 is a wasteful number, since it uses less digits than its factorization.

202002101210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138614 (or 1138596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202002101210112 its reverse (211012101200202), we get a palindrome (413014202410314).

The spelling of 202002101210112 in words is "two hundred two trillion, two billion, one hundred one million, two hundred ten thousand, one hundred twelve".