10100010111101 has 8 divisors (see below), whose sum is σ = 10164907390200. Its totient is φ = 10035119996928.

The previous prime is 10100010111073. The next prime is 10100010111119. The reversal of 10100010111101 is 10111101000101.

It can be written as a sum of positive squares in 4 ways, for example, as 212922259225 + 9887087851876 = 461435^2 + 3144374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100010111101 - 2¹⁰ = 10100010110077 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 (10100010101101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051565 + ... + 4615821.

It is an arithmetic number, because the mean of its divisors is an integer number (1270613423775).

Almost surely, 2^{10100010111101} is an apocalyptic number.

It is an amenable number.

10100010111101 is a deficient number, since it is larger than the sum of its proper divisors (64897279099).

10100010111101 is a wasteful number, since it uses less digits than its factorization.

10100010111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582463.

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

Adding to 10100010111101 its reverse (10111101000101), we get a palindrome (20211111111202).

The spelling of 10100010111101 in words is "ten trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred one".