100100002101 has 32 divisors (see below), whose sum is σ = 148158243456. Its totient is φ = 59603040000.

The previous prime is 100100002073. The next prime is 100100002127. The reversal of 100100002101 is 101200001001.

It is not a de Polignac number, because 100100002101 - 2¹¹ = 100100000053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100002181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1737051 + ... + 1793751.

It is an arithmetic number, because the mean of its divisors is an integer number (4629945108).

Almost surely, 2^100100002101 is an apocalyptic number.

100100002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100002101 is a deficient number, since it is larger than the sum of its proper divisors (48058241355).

100100002101 is a wasteful number, since it uses less digits than its factorization.

100100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57653.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100002101 its reverse (101200001001), we get a palindrome (201300003102).

The spelling of 100100002101 in words is "one hundred billion, one hundred million, two thousand, one hundred one".