10012101211320 has 256 divisors, whose sum is σ = 33258064250880. Its totient is φ = 2395530547200.

The previous prime is 10012101211283. The next prime is 10012101211339. The reversal of 10012101211320 is 2311210121001.

It is a super-2 number, since 2×10012101211320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012101211320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17044347 + ... + 17621973.

It is an arithmetic number, because the mean of its divisors is an integer number (129914313480).

Almost surely, 2^{10012101211320} is an apocalyptic number.

10012101211320 is a gapful number since it is divisible by the number (10) 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 10012101211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629032125440).

10012101211320 is an abundant number, since it is smaller than the sum of its proper divisors (23245963039560).

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

10012101211320 is a wasteful number, since it uses less digits than its factorization.

10012101211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577966 (or 577962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10012101211320 its reverse (2311210121001), we get a palindrome (12323311332321).

The spelling of 10012101211320 in words is "ten trillion, twelve billion, one hundred one million, two hundred eleven thousand, three hundred twenty".