10112212112202 has 96 divisors (see below), whose sum is σ = 22949650249344. Its totient is φ = 3336866280000.

The previous prime is 10112212112131. The next prime is 10112212112231. The reversal of 10112212112202 is 20221121221101.

10112212112202 is a `hidden beast` number, since 1 + 0 + 11 + 221 + 211 + 220 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485990083 + ... + 486010889.

It is an arithmetic number, because the mean of its divisors is an integer number (239058856764).

Almost surely, 2^{10112212112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112212112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474825124672).

10112212112202 is an abundant number, since it is smaller than the sum of its proper divisors (12837438137142).

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

10112212112202 is a wasteful number, since it uses less digits than its factorization.

10112212112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30826 (or 30814 counting only the distinct ones).

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

Adding to 10112212112202 its reverse (20221121221101), we get a palindrome (30333333333303).

The spelling of 10112212112202 in words is "ten trillion, one hundred twelve billion, two hundred twelve million, one hundred twelve thousand, two hundred two".