10201002111001 has 16 divisors (see below), whose sum is σ = 11108892065040. Its totient is φ = 9310954291200.

The previous prime is 10201002110947. The next prime is 10201002111061. The reversal of 10201002111001 is 10011120010201.

It can be written as a sum of positive squares in 8 ways, for example, as 605752446601 + 9595249664400 = 778301^2 + 3097620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201002111001 - 2⁹ = 10201002110489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201002111061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4041820 + ... + 6061213.

It is an arithmetic number, because the mean of its divisors is an integer number (694305754065).

Almost surely, 2^{10201002111001} is an apocalyptic number.

It is an amenable number.

10201002111001 is a deficient number, since it is larger than the sum of its proper divisors (907889954039).

10201002111001 is a wasteful number, since it uses less digits than its factorization.

10201002111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103916.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201002111001 its reverse (10011120010201), we get a palindrome (20212122121202).

The spelling of 10201002111001 in words is "ten trillion, two hundred one billion, two million, one hundred eleven thousand, one".