10010100111011 has 96 divisors (see below), whose sum is σ = 14192522695680. Its totient is φ = 6856911325440.

The previous prime is 10010100110953. The next prime is 10010100111119. The reversal of 10010100111011 is 11011100101001.

It is a de Polignac number, because none of the positive numbers 2^k-10010100111011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010100111011.

It is not an unprimeable number, because it can be changed into a prime (10010100111511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57908636 + ... + 58081238.

It is an arithmetic number, because the mean of its divisors is an integer number (147838778080).

Almost surely, 2^{10010100111011} is an apocalyptic number.

10010100111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010100111011 is a deficient number, since it is larger than the sum of its proper divisors (4182422584669).

10010100111011 is a wasteful number, since it uses less digits than its factorization.

10010100111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172897 (or 172886 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10010100111011 its reverse (11011100101001), we get a palindrome (21021200212012).

It can be divided in two parts, 100101001 and 11011, that multiplied together give a palindrome (1102212122011).

The spelling of 10010100111011 in words is "ten trillion, ten billion, one hundred million, one hundred eleven thousand, eleven".