10201011312 has 40 divisors (see below), whose sum is σ = 26613542160. Its totient is φ = 3366668800.

The previous prime is 10201011281. The next prime is 10201011341. The reversal of 10201011312 is 21311010201.

It is a super-2 number, since 2×10201011312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047237 + ... + 1056932.

It is an arithmetic number, because the mean of its divisors is an integer number (665338554).

Almost surely, 2^10201011312 is an apocalyptic number.

10201011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201011312 is an abundant number, since it is smaller than the sum of its proper divisors (16412530848).

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

10201011312 is a wasteful number, since it uses less digits than its factorization.

10201011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104281 (or 2104275 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10201011312 its reverse (21311010201), we get a palindrome (31512021513).

The spelling of 10201011312 in words is "ten billion, two hundred one million, eleven thousand, three hundred twelve".