10010101001 has 8 divisors (see below), whose sum is σ = 10104272640. Its totient is φ = 9915972048.

The previous prime is 10010100977. The next prime is 10010101019.

10010101001 is nontrivially palindromic in base 10.

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 10010101001 - 2¹⁸ = 10009838857 is a prime.

10010101001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010101061) 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, 651530 + ... + 666716.

It is an arithmetic number, because the mean of its divisors is an integer number (1263034080).

Almost surely, 2^10010101001 is an apocalyptic number.

It is an amenable number.

10010101001 is a deficient number, since it is larger than the sum of its proper divisors (94171639).

10010101001 is a wasteful number, since it uses less digits than its factorization.

10010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21343.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10010101001 in words is "ten billion, ten million, one hundred one thousand, one".