10010010111101 has 64 divisors (see below), whose sum is σ = 14010928791552. Its totient is φ = 6898759200000.

The previous prime is 10010010111089. The next prime is 10010010111107. The reversal of 10010010111101 is 10111101001001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010010111101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010010111107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1537196 + ... + 4731066.

It is an arithmetic number, because the mean of its divisors is an integer number (218920762368).

Almost surely, 2^{10010010111101} is an apocalyptic number.

10010010111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010010111101 is a deficient number, since it is larger than the sum of its proper divisors (4000918680451).

10010010111101 is a wasteful number, since it uses less digits than its factorization.

10010010111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194034.

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

Adding to 10010010111101 its reverse (10111101001001), we get a palindrome (20121111112102).

It can be divided in two parts, 100100 and 10111101, that added together give a palindrome (10211201).

The spelling of 10010010111101 in words is "ten trillion, ten billion, ten million, one hundred eleven thousand, one hundred one".