10212211202112 has 84 divisors (see below), whose sum is σ = 29293620283356. Its totient is φ = 3401493258240.

The previous prime is 10212211202057. The next prime is 10212211202131. The reversal of 10212211202112 is 21120211221201.

10212211202112 is a `hidden beast` number, since 10 + 212 + 211 + 20 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8801095288896 + 1411115913216 = 2966664^2 + 1187904^2 .

It is a super-2 number, since 2×10212211202112² (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5949753 + ... + 7471544.

Almost surely, 2^{10212211202112} is an apocalyptic number.

10212211202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212211202112 is an abundant number, since it is smaller than the sum of its proper divisors (19081409081244).

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

10212211202112 is a wasteful number, since it uses less digits than its factorization.

10212211202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422636 (or 13422623 counting only the distinct ones).

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

Adding to 10212211202112 its reverse (21120211221201), we get a palindrome (31332422423313).

The spelling of 10212211202112 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, two hundred two thousand, one hundred twelve".