101100120111001 has 16 divisors (see below), whose sum is σ = 110845780613568. Its totient is φ = 91447496051200.

The previous prime is 101100120110989. The next prime is 101100120111017. The reversal of 101100120111001 is 100111021001101.

It is a cyclic number.

It is not a de Polignac number, because 101100120111001 - 2³³ = 101091530176409 is a prime.

It is a super-2 number, since 2×101100120111001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101100120111031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11003311 + ... + 17979796.

It is an arithmetic number, because the mean of its divisors is an integer number (6927861288348).

Almost surely, 2^{101100120111001} is an apocalyptic number.

101100120111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100120111001 is a deficient number, since it is larger than the sum of its proper divisors (9745660502567).

101100120111001 is a wasteful number, since it uses less digits than its factorization.

101100120111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28984712.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101100120111001 its reverse (100111021001101), we get a palindrome (201211141112102).

The spelling of 101100120111001 in words is "one hundred one trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, one".