10000910101001 has 8 divisors (see below), whose sum is σ = 10014746245920. Its totient is φ = 9987076821888.

The previous prime is 10000910100983. The next prime is 10000910101031. The reversal of 10000910101001 is 10010101900001.

It is a happy number.

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 10000910101001 - 2²² = 10000905906697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000910101031) 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, 6315530 + ... + 7738716.

It is an arithmetic number, because the mean of its divisors is an integer number (1251843280740).

Almost surely, 2^{10000910101001} is an apocalyptic number.

It is an amenable number.

10000910101001 is a deficient number, since it is larger than the sum of its proper divisors (13836144919).

10000910101001 is an equidigital number, since it uses as much as digits as its factorization.

10000910101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432903.

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

The spelling of 10000910101001 in words is "ten trillion, nine hundred ten million, one hundred one thousand, one".