101000111010111 has 48 divisors (see below), whose sum is σ = 150295788289504. Its totient is φ = 65310939332352.

The previous prime is 101000111010103. The next prime is 101000111010173. The reversal of 101000111010111 is 111010111000101.

It is not a de Polignac number, because 101000111010111 - 2³ = 101000111010103 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000111010093 and 101000111010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000111012111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302530500 + ... + 302864166.

Almost surely, 2^{101000111010111} is an apocalyptic number.

101000111010111 is a deficient number, since it is larger than the sum of its proper divisors (49295677279393).

101000111010111 is a wasteful number, since it uses less digits than its factorization.

101000111010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336520 (or 336517 counting only the distinct ones).

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

Adding to 101000111010111 its reverse (111010111000101), we get a palindrome (212010222010212).

It can be divided in two parts, 101000 and 111010111, that added together give a palindrome (111111111).

The spelling of 101000111010111 in words is "one hundred one trillion, one hundred eleven million, ten thousand, one hundred eleven".