100100910101 has 8 divisors (see below), whose sum is σ = 102012214104. Its totient is φ = 98190443520.

The previous prime is 100100910097. The next prime is 100100910113. The reversal of 100100910101 is 101019001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41269922500 + 58830987601 = 203150^2 + 242551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100910101 - 2² = 100100910097 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 (100100910181) 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, 34685 + ... + 448781.

It is an arithmetic number, because the mean of its divisors is an integer number (12751526763).

Almost surely, 2^100100910101 is an apocalyptic number.

It is an amenable number.

100100910101 is a deficient number, since it is larger than the sum of its proper divisors (1911304003).

100100910101 is an equidigital number, since it uses as much as digits as its factorization.

100100910101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418711.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 100100910101 its reverse (101019001001), we get a palindrome (201119911102).

The spelling of 100100910101 in words is "one hundred billion, one hundred million, nine hundred ten thousand, one hundred one".