10012021311312 has 60 divisors (see below), whose sum is σ = 28777044752820. Its totient is φ = 3247142045184.

The previous prime is 10012021311263. The next prime is 10012021311329. The reversal of 10012021311312 is 21311312021001.

10012021311312 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 21 + 311 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8994456853776 + 1017564457536 = 2999076^2 + 1008744^2 .

It is a super-2 number, since 2×10012021311312² (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 a congruent number.

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, 939561237 + ... + 939571892.

It is an arithmetic number, because the mean of its divisors is an integer number (479617412547).

Almost surely, 2^{10012021311312} is an apocalyptic number.

10012021311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012021311312 is an abundant number, since it is smaller than the sum of its proper divisors (18765023441508).

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

10012021311312 is a wasteful number, since it uses less digits than its factorization.

10012021311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879133180 (or 1879133171 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10012021311312 its reverse (21311312021001), we get a palindrome (31323333332313).

The spelling of 10012021311312 in words is "ten trillion, twelve billion, twenty-one million, three hundred eleven thousand, three hundred twelve".