100011022000101 has 24 divisors (see below), whose sum is σ = 144840679701120. Its totient is φ = 66498581313600.

The previous prime is 100011022000079. The next prime is 100011022000147. The reversal of 100011022000101 is 101000220110001.

It is a happy number.

It is not a de Polignac number, because 100011022000101 - 2⁵ = 100011022000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011022000151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8430466 + ... + 16464956.

It is an arithmetic number, because the mean of its divisors is an integer number (6035028320880).

Almost surely, 2^{100011022000101} is an apocalyptic number.

It is an amenable number.

100011022000101 is a deficient number, since it is larger than the sum of its proper divisors (44829657701019).

100011022000101 is a wasteful number, since it uses less digits than its factorization.

100011022000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038137 (or 8038134 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011022000101 its reverse (101000220110001), we get a palindrome (201011242110102).

The spelling of 100011022000101 in words is "one hundred trillion, eleven billion, twenty-two million, one hundred one", and thus it is an aban number.