100001102101101 has 160 divisors (see below), whose sum is σ = 165369194179200. Its totient is φ = 59966325264384.

The previous prime is 100001102101097. The next prime is 100001102101171. The reversal of 100001102101101 is 101101201100001.

It is not a de Polignac number, because 100001102101101 - 2² = 100001102101097 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 (100001102101171) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 591018825 + ... + 591188001.

It is an arithmetic number, because the mean of its divisors is an integer number (1033557463620).

Almost surely, 2^{100001102101101} is an apocalyptic number.

It is an amenable number.

100001102101101 is a deficient number, since it is larger than the sum of its proper divisors (65368092078099).

100001102101101 is a wasteful number, since it uses less digits than its factorization.

100001102101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169465 (or 169456 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100001102101101 its reverse (101101201100001), we get a palindrome (201102303201102).

The spelling of 100001102101101 in words is "one hundred trillion, one billion, one hundred two million, one hundred one thousand, one hundred one".