101100112011 has 40 divisors (see below), whose sum is σ = 159558189120. Its totient is φ = 63691270272.

The previous prime is 101100111979. The next prime is 101100112033. The reversal of 101100112011 is 110211001101.

It is not a de Polignac number, because 101100112011 - 2⁵ = 101100111979 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 = 101100111984 and 101100112002.

It is not an unprimeable number, because it can be changed into a prime (101100112411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 347466 + ... + 568271.

It is an arithmetic number, because the mean of its divisors is an integer number (3988954728).

Almost surely, 2^101100112011 is an apocalyptic number.

101100112011 is a deficient number, since it is larger than the sum of its proper divisors (58458077109).

101100112011 is an equidigital number, since it uses as much as digits as its factorization.

101100112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915825 (or 915816 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100112011 its reverse (110211001101), we get a palindrome (211311113112).

The spelling of 101100112011 in words is "one hundred one billion, one hundred million, one hundred twelve thousand, eleven".