101013202113012 has 36 divisors (see below), whose sum is σ = 291815917216096. Its totient is φ = 28860914889360.

The previous prime is 101013202112993. The next prime is 101013202113017. The reversal of 101013202113012 is 210311202310101.

101013202113012 is a `hidden beast` number, since 1 + 0 + 101 + 320 + 211 + 30 + 1 + 2 = 666.

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

It is a super-2 number, since 2×101013202113012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013202113017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200423019814 + ... + 200423020317.

Almost surely, 2^{101013202113012} is an apocalyptic number.

101013202113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013202113012 is an abundant number, since it is smaller than the sum of its proper divisors (190802715103084).

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

101013202113012 is a wasteful number, since it uses less digits than its factorization.

101013202113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400846040148 (or 400846040143 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101013202113012 its reverse (210311202310101), we get a palindrome (311324404423113).

The spelling of 101013202113012 in words is "one hundred one trillion, thirteen billion, two hundred two million, one hundred thirteen thousand, twelve".