101100111001011 has 20 divisors (see below), whose sum is σ = 151112540775592. Its totient is φ = 67361493440448.

The previous prime is 101100111000979. The next prime is 101100111001027. The reversal of 101100111001011 is 110100111001101.

It is not a de Polignac number, because 101100111001011 - 2⁵ = 101100111000979 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 = 101100111000984 and 101100111001002.

It is not an unprimeable number, because it can be changed into a prime (101100111001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 357085030 + ... + 357368043.

Almost surely, 2^{101100111001011} is an apocalyptic number.

101100111001011 is a deficient number, since it is larger than the sum of its proper divisors (50012429774581).

101100111001011 is an equidigital number, since it uses as much as digits as its factorization.

101100111001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714454832 (or 714454823 counting only the distinct ones).

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

Adding to 101100111001011 its reverse (110100111001101), we get a palindrome (211200222002112).

The spelling of 101100111001011 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one thousand, eleven".