101110100111011 has 16 divisors (see below), whose sum is σ = 106463179468800. Its totient is φ = 95760174660768.

The previous prime is 101110100110949. The next prime is 101110100111017. The reversal of 101110100111011 is 110111001011101.

It is a happy number.

It is not a de Polignac number, because 101110100111011 - 2¹⁹ = 101110099586723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110100111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936992286 + ... + 937100188.

It is an arithmetic number, because the mean of its divisors is an integer number (6653948716800).

Almost surely, 2^{101110100111011} is an apocalyptic number.

101110100111011 is a deficient number, since it is larger than the sum of its proper divisors (5353079357789).

101110100111011 is a wasteful number, since it uses less digits than its factorization.

101110100111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122058.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101110100111011 its reverse (110111001011101), we get a palindrome (211221101122112).

The spelling of 101110100111011 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, eleven".