10120011012 has 36 divisors (see below), whose sum is σ = 26063806860. Its totient is φ = 3309688512.

The previous prime is 10120010993. The next prime is 10120011023. The reversal of 10120011012 is 21011002101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5326664256 + 4793346756 = 72984^2 + 69234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10120010985 and 10120011003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2650087 + ... + 2653902.

It is an arithmetic number, because the mean of its divisors is an integer number (723994635).

Almost surely, 2^10120011012 is an apocalyptic number.

10120011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120011012 is an abundant number, since it is smaller than the sum of its proper divisors (15943795848).

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

10120011012 is a wasteful number, since it uses less digits than its factorization.

10120011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304052 (or 5304047 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120011012 its reverse (21011002101), we get a palindrome (31131013113).

The spelling of 10120011012 in words is "ten billion, one hundred twenty million, eleven thousand, twelve".