101111010100001 has 64 divisors (see below), whose sum is σ = 116520027144192. Its totient is φ = 86933376000000.

The previous prime is 101111010099989. The next prime is 101111010100073. The reversal of 101111010100001 is 100001010111101.

It is a cyclic number.

It is not a de Polignac number, because 101111010100001 - 2²⁶ = 101110942991137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111010100081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455444576 + ... + 455666526.

It is an arithmetic number, because the mean of its divisors is an integer number (1820625424128).

Almost surely, 2^{101111010100001} is an apocalyptic number.

101111010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111010100001 is a deficient number, since it is larger than the sum of its proper divisors (15409017044191).

101111010100001 is a wasteful number, since it uses less digits than its factorization.

101111010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222314.

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

Adding to 101111010100001 its reverse (100001010111101), we get a palindrome (201112020211102).

It can be divided in two parts, 1011110 and 10100001, that added together give a palindrome (11111111).

The spelling of 101111010100001 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred thousand, one".