100101300311 has 16 divisors (see below), whose sum is σ = 106446498624. Its totient is φ = 93807181824.

The previous prime is 100101300251. The next prime is 100101300319. The reversal of 100101300311 is 113003101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101300311 - 2³⁴ = 82921431127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101300292 and 100101300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101300319) 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, 20413886 + ... + 20418788.

It is an arithmetic number, because the mean of its divisors is an integer number (6652906164).

Almost surely, 2^100101300311 is an apocalyptic number.

100101300311 is a deficient number, since it is larger than the sum of its proper divisors (6345198313).

100101300311 is a wasteful number, since it uses less digits than its factorization.

100101300311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9850.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100101300311 its reverse (113003101001), we get a palindrome (213104401312).

The spelling of 100101300311 in words is "one hundred billion, one hundred one million, three hundred thousand, three hundred eleven".