10100112000101 has 16 divisors (see below), whose sum is σ = 10207733425920. Its totient is φ = 9993226199040.

The previous prime is 10100112000023. The next prime is 10100112000107. The reversal of 10100112000101 is 10100021100101.

It is a happy number.

10100112000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100112000101 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 (10100112000107) 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, 24943265 + ... + 25344953.

It is an arithmetic number, because the mean of its divisors is an integer number (637983339120).

Almost surely, 2^{10100112000101} is an apocalyptic number.

It is an amenable number.

10100112000101 is a deficient number, since it is larger than the sum of its proper divisors (107621425819).

10100112000101 is a wasteful number, since it uses less digits than its factorization.

10100112000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402604.

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

Adding to 10100112000101 its reverse (10100021100101), we get a palindrome (20200133100202).

The spelling of 10100112000101 in words is "ten trillion, one hundred billion, one hundred twelve million, one hundred one", and thus it is an aban number.