10010100101101 has 8 divisors (see below), whose sum is σ = 10321083156384. Its totient is φ = 9702671138160.

The previous prime is 10010100101059. The next prime is 10010100101119. The reversal of 10010100101101 is 10110100101001.

It is a happy number.

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 10010100101101 - 2¹⁵ = 10010100068333 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 (10010100105101) 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, 888517366 + ... + 888528631.

It is an arithmetic number, because the mean of its divisors is an integer number (1290135394548).

Almost surely, 2^{10010100101101} is an apocalyptic number.

It is an amenable number.

10010100101101 is a deficient number, since it is larger than the sum of its proper divisors (310983055283).

10010100101101 is a wasteful number, since it uses less digits than its factorization.

10010100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777046171.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010100101101 its reverse (10110100101001), we get a palindrome (20120200202102).

The spelling of 10010100101101 in words is "ten trillion, ten billion, one hundred million, one hundred one thousand, one hundred one".