100910101001 has 4 divisors (see below), whose sum is σ = 100912228992. Its totient is φ = 100907973012.

The previous prime is 100910100989. The next prime is 100910101013. The reversal of 100910101001 is 100101019001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (100910100989) and next prime (100910101013).

It is a cyclic number.

It is not a de Polignac number, because 100910101001 - 2¹⁴ = 100910084617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100910101021) 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, 991205 + ... + 1088258.

It is an arithmetic number, because the mean of its divisors is an integer number (25228057248).

Almost surely, 2^100910101001 is an apocalyptic number.

It is an amenable number.

100910101001 is a deficient number, since it is larger than the sum of its proper divisors (2127991).

100910101001 is an equidigital number, since it uses as much as digits as its factorization.

100910101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127990.

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

The spelling of 100910101001 in words is "one hundred billion, nine hundred ten million, one hundred one thousand, one".