10012212212112 has 180 divisors, whose sum is σ = 32610876168780. Its totient is φ = 2855532810240.

The previous prime is 10012212212099. The next prime is 10012212212141. The reversal of 10012212212112 is 21121221221001.

10012212212112 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 221 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5463700551936 + 4548511660176 = 2337456^2 + 2132724^2 .

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 35 ways as a sum of consecutive naturals, for example, 16604437 + ... + 17196852.

It is an arithmetic number, because the mean of its divisors is an integer number (181171534271).

Almost surely, 2^{10012212212112} is an apocalyptic number.

10012212212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012212212112 is an abundant number, since it is smaller than the sum of its proper divisors (22598663956668).

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

10012212212112 is a wasteful number, since it uses less digits than its factorization.

10012212212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33801342 (or 33801322 counting only the distinct ones).

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

Adding to 10012212212112 its reverse (21121221221001), we get a palindrome (31133433433113).

The spelling of 10012212212112 in words is "ten trillion, twelve billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".