10202112122112 has 108 divisors (see below), whose sum is σ = 30429521942820. Its totient is φ = 3283438362624.

The previous prime is 10202112122107. The next prime is 10202112122179. The reversal of 10202112122112 is 21122121120201.

10202112122112 is a `hidden beast` number, since 10 + 20 + 211 + 212 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8421232548096 + 1780879574016 = 2901936^2 + 1334496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76278013 + ... + 76411644.

Almost surely, 2^{10202112122112} is an apocalyptic number.

10202112122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202112122112 is an abundant number, since it is smaller than the sum of its proper divisors (20227409820708).

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

10202112122112 is a wasteful number, since it uses less digits than its factorization.

10202112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152689708 (or 152689691 counting only the distinct ones).

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

Adding to 10202112122112 its reverse (21122121120201), we get a palindrome (31324233242313).

The spelling of 10202112122112 in words is "ten trillion, two hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".