10201111001 has 16 divisors (see below), whose sum is σ = 11396194560. Its totient is φ = 9074499840.

The previous prime is 10201110991. The next prime is 10201111027. The reversal of 10201111001 is 10011110201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10201111001 - 2¹⁸ = 10200848857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201111001.

It is not an unprimeable number, because it can be changed into a prime (10201111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102575 + ... + 175851.

It is an arithmetic number, because the mean of its divisors is an integer number (712262160).

Almost surely, 2^10201111001 is an apocalyptic number.

It is an amenable number.

10201111001 is a deficient number, since it is larger than the sum of its proper divisors (1195083559).

10201111001 is a wasteful number, since it uses less digits than its factorization.

10201111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73744.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10201111001 its reverse (10011110201), we get a palindrome (20212221202).

The spelling of 10201111001 in words is "ten billion, two hundred one million, one hundred eleven thousand, one".