10121013012 has 96 divisors (see below), whose sum is σ = 26948275200. Its totient is φ = 2926471680.

The previous prime is 10121012999. The next prime is 10121013017. The reversal of 10121013012 is 21031012101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121013017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310739 + ... + 1318437.

It is an arithmetic number, because the mean of its divisors is an integer number (280711200).

Almost surely, 2^10121013012 is an apocalyptic number.

10121013012 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 10121013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474137600).

10121013012 is an abundant number, since it is smaller than the sum of its proper divisors (16827262188).

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

10121013012 is a wasteful number, since it uses less digits than its factorization.

10121013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8171 counting only the distinct ones).

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

Adding to 10121013012 its reverse (21031012101), we get a palindrome (31152025113).

The spelling of 10121013012 in words is "ten billion, one hundred twenty-one million, thirteen thousand, twelve".