10013023112101 has 16 divisors (see below), whose sum is σ = 10539166141504. Its totient is φ = 9501033314304.

The previous prime is 10013023112077. The next prime is 10013023112107. The reversal of 10013023112101 is 10121132031001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10013023112101 - 2²⁷ = 10012888894373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013023112107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3870876 + ... + 5916901.

It is an arithmetic number, because the mean of its divisors is an integer number (658697883844).

Almost surely, 2^{10013023112101} is an apocalyptic number.

It is an amenable number.

10013023112101 is a deficient number, since it is larger than the sum of its proper divisors (526143029403).

10013023112101 is an equidigital number, since it uses as much as digits as its factorization.

10013023112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788500.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10013023112101 its reverse (10121132031001), we get a palindrome (20134155143102).

It can be divided in two parts, 10013023 and 112101, that added together give a square (10125124 = 3182²).

The spelling of 10013023112101 in words is "ten trillion, thirteen billion, twenty-three million, one hundred twelve thousand, one hundred one".