101101111100001 has 12 divisors (see below), whose sum is σ = 154625228741412. Its totient is φ = 63435991278336.

The previous prime is 101101111099991. The next prime is 101101111100009. The reversal of 101101111100001 is 100001111101101.

It can be written as a sum of positive squares in 2 ways, for example, as 88312047707601 + 12789063392400 = 9397449^2 + 3576180^2 .

It is not a de Polignac number, because 101101111100001 - 2⁹ = 101101111099489 is a prime.

It is a super-4 number, since 4×101101111100001⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101101111100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330395787756 + ... + 330395788061.

It is an arithmetic number, because the mean of its divisors is an integer number (12885435728451).

Almost surely, 2^{101101111100001} is an apocalyptic number.

It is an amenable number.

101101111100001 is a deficient number, since it is larger than the sum of its proper divisors (53524117641411).

101101111100001 is a wasteful number, since it uses less digits than its factorization.

101101111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660791575840 (or 660791575837 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101111100001 its reverse (100001111101101), we get a palindrome (201102222201102).

The spelling of 101101111100001 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one".