101001001101111 has 6 divisors (see below), whose sum is σ = 145890334923840. Its totient is φ = 67334000734068.

The previous prime is 101001001101067. The next prime is 101001001101211. The reversal of 101001001101111 is 111101100100101.

It is not a de Polignac number, because 101001001101111 - 2⁹ = 101001001100599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222333455679 = 101001001101111 / (1 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101001001101093 and 101001001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001101211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611166727831 + ... + 5611166727848.

It is an arithmetic number, because the mean of its divisors is an integer number (24315055820640).

Almost surely, 2^{101001001101111} is an apocalyptic number.

101001001101111 is a deficient number, since it is larger than the sum of its proper divisors (44889333822729).

101001001101111 is a wasteful number, since it uses less digits than its factorization.

101001001101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222333455685 (or 11222333455682 counting only the distinct ones).

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

Adding to 101001001101111 its reverse (111101100100101), we get a palindrome (212102101201212).

The spelling of 101001001101111 in words is "one hundred one trillion, one billion, one million, one hundred one thousand, one hundred eleven".