10100110111011 has 24 divisors (see below), whose sum is σ = 15070128353280. Its totient is φ = 6511671529200.

The previous prime is 10100110110997. The next prime is 10100110111027. The reversal of 10100110111011 is 11011101100101.

It is not a de Polignac number, because 10100110111011 - 2⁶ = 10100110110947 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 = 10100110110984 and 10100110111002.

It is not an unprimeable number, because it can be changed into a prime (10100110111031) 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, 12177085 + ... + 12980046.

It is an arithmetic number, because the mean of its divisors is an integer number (627922014720).

Almost surely, 2^{10100110111011} is an apocalyptic number.

10100110111011 is a deficient number, since it is larger than the sum of its proper divisors (4970018242269).

10100110111011 is a wasteful number, since it uses less digits than its factorization.

10100110111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25158607 (or 25158604 counting only the distinct ones).

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

Adding to 10100110111011 its reverse (11011101100101), we get a palindrome (21111211211112).

The spelling of 10100110111011 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, eleven".