101215114013 has 16 divisors (see below), whose sum is σ = 115667879040. Its totient is φ = 87852477504.

The previous prime is 101215114001. The next prime is 101215114019. The reversal of 101215114013 is 310411512101.

It is a cyclic number.

It is not a de Polignac number, because 101215114013 - 2¹⁴ = 101215097629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101215114019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851106 + ... + 2886387.

It is an arithmetic number, because the mean of its divisors is an integer number (7229242440).

Almost surely, 2^101215114013 is an apocalyptic number.

101215114013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101215114013 is a deficient number, since it is larger than the sum of its proper divisors (14452765027).

101215114013 is a wasteful number, since it uses less digits than its factorization.

101215114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737588.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 101215114013 its reverse (310411512101), we get a palindrome (411626626114).

The spelling of 101215114013 in words is "one hundred one billion, two hundred fifteen million, one hundred fourteen thousand, thirteen".