10102101101 has 16 divisors (see below), whose sum is σ = 10668412800. Its totient is φ = 9547082688.

The previous prime is 10102101059. The next prime is 10102101167. The reversal of 10102101101 is 10110120101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102101101 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 (10102103101) 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, 638555 + ... + 654183.

It is an arithmetic number, because the mean of its divisors is an integer number (666775800).

Almost surely, 2^10102101101 is an apocalyptic number.

It is an amenable number.

10102101101 is a deficient number, since it is larger than the sum of its proper divisors (566311699).

10102101101 is a wasteful number, since it uses less digits than its factorization.

10102101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15988.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10102101101 its reverse (10110120101), we get a palindrome (20212221202).

The spelling of 10102101101 in words is "ten billion, one hundred two million, one hundred one thousand, one hundred one".