101111000101001 has 16 divisors (see below), whose sum is σ = 111514926873600. Its totient is φ = 90911035584000.

The previous prime is 101111000100967. The next prime is 101111000101009. The reversal of 101111000101001 is 100101000111101.

It is a cyclic number.

It is not a de Polignac number, because 101111000101001 - 2¹⁸ = 101110999838857 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 101111000101001.

It is not an unprimeable number, because it can be changed into a prime (101111000101009) 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, 47950121 + ... + 50014358.

It is an arithmetic number, because the mean of its divisors is an integer number (6969682929600).

Almost surely, 2^{101111000101001} is an apocalyptic number.

101111000101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111000101001 is a deficient number, since it is larger than the sum of its proper divisors (10403926772599).

101111000101001 is a wasteful number, since it uses less digits than its factorization.

101111000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97965520.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101111000101001 its reverse (100101000111101), we get a palindrome (201212000212102).

The spelling of 101111000101001 in words is "one hundred one trillion, one hundred eleven billion, one hundred one thousand, one".