101100110101011 has 72 divisors (see below), whose sum is σ = 176312589882624. Its totient is φ = 54677788745760.

The previous prime is 101100110101009. The next prime is 101100110101057. The reversal of 101100110101011 is 110101011001101.

It is not a de Polignac number, because 101100110101011 - 2¹ = 101100110101009 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 = 101100110100984 and 101100110101002.

It is not an unprimeable number, because it can be changed into a prime (101100110101511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21292200 + ... + 25603866.

It is an arithmetic number, because the mean of its divisors is an integer number (2448785970592).

Almost surely, 2^{101100110101011} is an apocalyptic number.

101100110101011 is a deficient number, since it is larger than the sum of its proper divisors (75212479781613).

101100110101011 is a wasteful number, since it uses less digits than its factorization.

101100110101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312749 (or 4312727 counting only the distinct ones).

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

Adding to 101100110101011 its reverse (110101011001101), we get a palindrome (211201121102112).

The spelling of 101100110101011 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred one thousand, eleven".