101212201012013 has 32 divisors (see below), whose sum is σ = 126735232592640. Its totient is φ = 78689893685760.

The previous prime is 101212201012001. The next prime is 101212201012063. The reversal of 101212201012013 is 310210102212101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101212201012013 is a prime.

It is a super-2 number, since 2×101212201012013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101212201011982 and 101212201012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212201012063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3290120 + ... + 14603057.

It is an arithmetic number, because the mean of its divisors is an integer number (3960476018520).

Almost surely, 2^{101212201012013} is an apocalyptic number.

101212201012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101212201012013 is a deficient number, since it is larger than the sum of its proper divisors (25523031580627).

101212201012013 is a wasteful number, since it uses less digits than its factorization.

101212201012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894277.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101212201012013 its reverse (310210102212101), we get a palindrome (411422303224114).

The spelling of 101212201012013 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, twelve thousand, thirteen".