10012211202112 has 56 divisors (see below), whose sum is σ = 22707463856000. Its totient is φ = 4290721044480.

The previous prime is 10012211202073. The next prime is 10012211202163. The reversal of 10012211202112 is 21120211221001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×10012211202112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 8043037 + ... + 9204067.

It is an arithmetic number, because the mean of its divisors is an integer number (405490426000).

Almost surely, 2^{10012211202112} is an apocalyptic number.

It is an amenable number.

10012211202112 is an abundant number, since it is smaller than the sum of its proper divisors (12695252653888).

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

10012211202112 is a wasteful number, since it uses less digits than its factorization.

10012211202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180299 (or 1180289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10012211202112 its reverse (21120211221001), we get a palindrome (31132422423113).

The spelling of 10012211202112 in words is "ten trillion, twelve billion, two hundred eleven million, two hundred two thousand, one hundred twelve".