100002101101 has 16 divisors (see below), whose sum is σ = 120695196160. Its totient is φ = 80940170160.

The previous prime is 100002101041. The next prime is 100002101179. The reversal of 100002101101 is 101101200001.

It is a cyclic number.

It is not a de Polignac number, because 100002101101 - 2¹⁹ = 100001576813 is a prime.

It is a super-2 number, since 2×100002101101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002141101) 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, 1183755 + ... + 1265416.

It is an arithmetic number, because the mean of its divisors is an integer number (7543449760).

Almost surely, 2^100002101101 is an apocalyptic number.

It is an amenable number.

100002101101 is a deficient number, since it is larger than the sum of its proper divisors (20693095059).

100002101101 is a wasteful number, since it uses less digits than its factorization.

100002101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449504.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100002101101 its reverse (101101200001), we get a palindrome (201103301102).

The spelling of 100002101101 in words is "one hundred billion, two million, one hundred one thousand, one hundred one".