10100101011101 has 8 divisors (see below), whose sum is σ = 10189559502144. Its totient is φ = 10010643872320.

The previous prime is 10100101011067. The next prime is 10100101011127. The reversal of 10100101011101 is 10111010100101.

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 10100101011101 - 2¹⁸ = 10100100748957 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 (10100101611101) 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, 20127290 + ... + 20622996.

It is an arithmetic number, because the mean of its divisors is an integer number (1273694937768).

Almost surely, 2^{10100101011101} is an apocalyptic number.

It is an amenable number.

10100101011101 is a deficient number, since it is larger than the sum of its proper divisors (89458491043).

10100101011101 is a wasteful number, since it uses less digits than its factorization.

10100101011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676131.

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

Adding to 10100101011101 its reverse (10111010100101), we get a palindrome (20211111111202).

The spelling of 10100101011101 in words is "ten trillion, one hundred billion, one hundred one million, eleven thousand, one hundred one".