101331120012 has 96 divisors (see below), whose sum is σ = 243778289664. Its totient is φ = 32740070400.

The previous prime is 101331119959. The next prime is 101331120013. The reversal of 101331120012 is 210021133101.

It is a happy number.

101331120012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101331119973 and 101331120000.

It is not an unprimeable number, because it can be changed into a prime (101331120013) 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, 60931893 + ... + 60933555.

It is an arithmetic number, because the mean of its divisors is an integer number (2539357184).

Almost surely, 2^101331120012 is an apocalyptic number.

101331120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331120012 is an abundant number, since it is smaller than the sum of its proper divisors (142447169652).

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

101331120012 is a wasteful number, since it uses less digits than its factorization.

101331120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101331120012 its reverse (210021133101), we get a palindrome (311352253113).

The spelling of 101331120012 in words is "one hundred one billion, three hundred thirty-one million, one hundred twenty thousand, twelve".