10102101100013 has 8 divisors (see below), whose sum is σ = 10879211665056. Its totient is φ = 9324994230000.

The previous prime is 10102101099977. The next prime is 10102101100061. The reversal of 10102101100013 is 31000110120101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102101100013 - 2⁸ = 10102101099757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102101099967 and 10102101100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102101100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7819538 + ... + 9019388.

It is an arithmetic number, because the mean of its divisors is an integer number (1359901458132).

Almost surely, 2^{10102101100013} is an apocalyptic number.

10102101100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102101100013 is a deficient number, since it is larger than the sum of its proper divisors (777110565043).

10102101100013 is a wasteful number, since it uses less digits than its factorization.

10102101100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847515.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10102101100013 its reverse (31000110120101), we get a palindrome (41102211220114).

The spelling of 10102101100013 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred thousand, thirteen".