10201101001 has 32 divisors (see below), whose sum is σ = 12889775360. Its totient is φ = 7857368064.

The previous prime is 10201100977. The next prime is 10201101011. The reversal of 10201101001 is 10010110201.

It is not a de Polignac number, because 10201101001 - 2³³ = 1611166409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is the 101001-st Hogben number.

It is not an unprimeable number, because it can be changed into a prime (10201101011) by changing a digit.

It is a nontrivial repunit in base 101000.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220605 + ... + 1228933.

It is an arithmetic number, because the mean of its divisors is an integer number (402805480).

Almost surely, 2^10201101001 is an apocalyptic number.

It is an amenable number.

10201101001 is a deficient number, since it is larger than the sum of its proper divisors (2688674359).

10201101001 is a wasteful number, since it uses less digits than its factorization.

10201101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10201101001 its reverse (10010110201), we get a palindrome (20211211202).

The spelling of 10201101001 in words is "ten billion, two hundred one million, one hundred one thousand, one".