101111001010011 has 24 divisors (see below), whose sum is σ = 146231810122944. Its totient is φ = 67323066194160.

The previous prime is 101111001009989. The next prime is 101111001010021. The reversal of 101111001010011 is 110010100111101.

It is not a de Polignac number, because 101111001010011 - 2⁵ = 101111001009979 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101111001009975 and 101111001010002.

It is not an unprimeable number, because it can be changed into a prime (101111001010021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766234140 + ... + 766366086.

It is an arithmetic number, because the mean of its divisors is an integer number (6092992088456).

Almost surely, 2^{101111001010011} is an apocalyptic number.

101111001010011 is a deficient number, since it is larger than the sum of its proper divisors (45120809112933).

101111001010011 is a wasteful number, since it uses less digits than its factorization.

101111001010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237751 (or 237748 counting only the distinct ones).

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

Adding to 101111001010011 its reverse (110010100111101), we get a palindrome (211121101121112).

The spelling of 101111001010011 in words is "one hundred one trillion, one hundred eleven billion, one million, ten thousand, eleven".