101110031011 has 18 divisors (see below), whose sum is σ = 118059570020. Its totient is φ = 86511226560.

The previous prime is 101110030999. The next prime is 101110031041. The reversal of 101110031011 is 110130011101.

It is not a de Polignac number, because 101110031011 - 2⁵ = 101110030979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110031041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1410741 + ... + 1480678.

Almost surely, 2^101110031011 is an apocalyptic number.

101110031011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101110031011 is a deficient number, since it is larger than the sum of its proper divisors (16949539009).

101110031011 is a wasteful number, since it uses less digits than its factorization.

101110031011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891475 (or 2891447 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101110031011 its reverse (110130011101), we get a palindrome (211240042112).

The spelling of 101110031011 in words is "one hundred one billion, one hundred ten million, thirty-one thousand, eleven".