101011110100011 has 96 divisors (see below), whose sum is σ = 161918861053248. Its totient is φ = 60404869324800.

The previous prime is 101011110099989. The next prime is 101011110100031. The reversal of 101011110100011 is 110001011110101.

It is not a de Polignac number, because 101011110100011 - 2⁶ = 101011110099947 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 = 101011110099966 and 101011110100002.

It is not an unprimeable number, because it can be changed into a prime (101011110100031) 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 95 ways as a sum of consecutive naturals, for example, 184847536 + ... + 185393186.

It is an arithmetic number, because the mean of its divisors is an integer number (1686654802638).

Almost surely, 2^{101011110100011} is an apocalyptic number.

101011110100011 is a deficient number, since it is larger than the sum of its proper divisors (60907750953237).

101011110100011 is a wasteful number, since it uses less digits than its factorization.

101011110100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546381 (or 546378 counting only the distinct ones).

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

Adding to 101011110100011 its reverse (110001011110101), we get a palindrome (211012121210112).

The spelling of 101011110100011 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred thousand, eleven".