10100101013 has 4 divisors (see below), whose sum is σ = 10694224620. Its totient is φ = 9505977408.

The previous prime is 10100101001. The next prime is 10100101031. The reversal of 10100101013 is 31010100101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7821279844 + 2278821169 = 88438^2 + 47737^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101013 - 2¹² = 10100096917 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 (10100101513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297061778 + ... + 297061811.

It is an arithmetic number, because the mean of its divisors is an integer number (2673556155).

Almost surely, 2^10100101013 is an apocalyptic number.

It is an amenable number.

10100101013 is a deficient number, since it is larger than the sum of its proper divisors (594123607).

10100101013 is an equidigital number, since it uses as much as digits as its factorization.

10100101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594123606.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100101013 its reverse (31010100101), we get a palindrome (41110201114).

The spelling of 10100101013 in words is "ten billion, one hundred million, one hundred one thousand, thirteen".