10000201011312 has 80 divisors (see below), whose sum is σ = 26172507630080. Its totient is φ = 3289740480000.

The previous prime is 10000201011289. The next prime is 10000201011329. The reversal of 10000201011312 is 21311010200001.

It is a super-2 number, since 2×10000201011312² (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7950012 + ... + 9121572.

It is an arithmetic number, because the mean of its divisors is an integer number (327156345376).

Almost surely, 2^{10000201011312} is an apocalyptic number.

10000201011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000201011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086253815040).

10000201011312 is an abundant number, since it is smaller than the sum of its proper divisors (16172306618768).

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

10000201011312 is a wasteful number, since it uses less digits than its factorization.

10000201011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173902 (or 1173896 counting only the distinct ones).

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

Adding to 10000201011312 its reverse (21311010200001), we get a palindrome (31311211211313).

The spelling of 10000201011312 in words is "ten trillion, two hundred one million, eleven thousand, three hundred twelve".