10100110120011 has 24 divisors (see below), whose sum is σ = 15129638829760. Its totient is φ = 6733292915592.

The previous prime is 10100110119929. The next prime is 10100110120033. The reversal of 10100110120011 is 11002101100101.

It is not a de Polignac number, because 10100110120011 - 2⁹ = 10100110119499 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 = 10100110119975 and 10100110120002.

It is not an unprimeable number, because it can be changed into a prime (10100110121011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15525600 + ... + 16163058.

Almost surely, 2^{10100110120011} is an apocalyptic number.

10100110120011 is a deficient number, since it is larger than the sum of its proper divisors (5029528709749).

10100110120011 is an frugal number, since it uses more digits than its factorization.

10100110120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702677 (or 702665 counting only the distinct ones).

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

Adding to 10100110120011 its reverse (11002101100101), we get a palindrome (21102211220112).

The spelling of 10100110120011 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, eleven".