10012101015136 has 96 divisors (see below), whose sum is σ = 21888888215040. Its totient is φ = 4470018432000.

The previous prime is 10012101015127. The next prime is 10012101015157. The reversal of 10012101015136 is 63151010121001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3672285 + ... + 5788771.

It is an arithmetic number, because the mean of its divisors is an integer number (228009252240).

Almost surely, 2^{10012101015136} is an apocalyptic number.

10012101015136 is a gapful number since it is divisible by the number (16) 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 10012101015136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944444107520).

10012101015136 is an abundant number, since it is smaller than the sum of its proper divisors (11876787199904).

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

10012101015136 is a wasteful number, since it uses less digits than its factorization.

10012101015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116748 (or 2116740 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 10012101015136 its reverse (63151010121001), we get a palindrome (73163111136137).

The spelling of 10012101015136 in words is "ten trillion, twelve billion, one hundred one million, fifteen thousand, one hundred thirty-six".