100211010013 has 4 divisors (see below), whose sum is σ = 100600936380. Its totient is φ = 99821083648.

The previous prime is 100211009971. The next prime is 100211010019. The reversal of 100211010013 is 310010112001.

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 50015744164 + 50195265849 = 223642^2 + 224043^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211010013 - 2¹⁷ = 100210878941 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 (100211010019) 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, 194962798 + ... + 194963311.

It is an arithmetic number, because the mean of its divisors is an integer number (25150234095).

Almost surely, 2^100211010013 is an apocalyptic number.

It is an amenable number.

100211010013 is a deficient number, since it is larger than the sum of its proper divisors (389926367).

100211010013 is an equidigital number, since it uses as much as digits as its factorization.

100211010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389926366.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100211010013 its reverse (310010112001), we get a palindrome (410221122014).

The spelling of 100211010013 in words is "one hundred billion, two hundred eleven million, ten thousand, thirteen".