100001102013 has 8 divisors (see below), whose sum is σ = 148149780800. Its totient is φ = 66667401324.

The previous prime is 100001101997. The next prime is 100001102017. The reversal of 100001102013 is 310201100001.

It is not a de Polignac number, because 100001102013 - 2⁴ = 100001101997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001101986 and 100001102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001102017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851872233 + ... + 1851872286.

It is an arithmetic number, because the mean of its divisors is an integer number (18518722600).

Almost surely, 2^100001102013 is an apocalyptic number.

It is an amenable number.

100001102013 is a deficient number, since it is larger than the sum of its proper divisors (48148678787).

100001102013 is an equidigital number, since it uses as much as digits as its factorization.

100001102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703744528 (or 3703744522 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100001102013 its reverse (310201100001), we get a palindrome (410202202014).

The spelling of 100001102013 in words is "one hundred billion, one million, one hundred two thousand, thirteen".