10101100111011 has 96 divisors (see below), whose sum is σ = 18444871303040. Its totient is φ = 5183483092992.

The previous prime is 10101100110979. The next prime is 10101100111019. The reversal of 10101100111011 is 11011100110101.

It is not a de Polignac number, because 10101100111011 - 2⁵ = 10101100110979 is a prime.

It is a super-5 number, since 5×10101100111011⁵ (a number of 66 digits) contains 55555 as substring.

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 = 10101100110984 and 10101100111002.

It is not an unprimeable number, because it can be changed into a prime (10101100111019) 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, 532383921 + ... + 532402893.

Almost surely, 2^{10101100111011} is an apocalyptic number.

10101100111011 is a deficient number, since it is larger than the sum of its proper divisors (8343771192029).

10101100111011 is a wasteful number, since it uses less digits than its factorization.

10101100111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36605 (or 36602 counting only the distinct ones).

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

Adding to 10101100111011 its reverse (11011100110101), we get a palindrome (21112200221112).

The spelling of 10101100111011 in words is "ten trillion, one hundred one billion, one hundred million, one hundred eleven thousand, eleven".