10101100010111 has 16 divisors (see below), whose sum is σ = 11126664327168. Its totient is φ = 9093420890400.

The previous prime is 10101100010093. The next prime is 10101100010207. The reversal of 10101100010111 is 11101000110101.

It is a de Polignac number, because none of the positive numbers 2^k-10101100010111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100010411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52328705 + ... + 52521381.

It is an arithmetic number, because the mean of its divisors is an integer number (695416520448).

Almost surely, 2^{10101100010111} is an apocalyptic number.

10101100010111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10101100010111 is a deficient number, since it is larger than the sum of its proper divisors (1025564317057).

10101100010111 is a wasteful number, since it uses less digits than its factorization.

10101100010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239062.

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

Adding to 10101100010111 its reverse (11101000110101), we get a palindrome (21202100120212).

The spelling of 10101100010111 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand, one hundred eleven".