100000100002101 has 16 divisors (see below), whose sum is σ = 152036351135424. Its totient is φ = 57918609955584.

The previous prime is 100000100002091. The next prime is 100000100002181. The reversal of 100000100002101 is 101200001000001.

It is not a de Polignac number, because 100000100002101 - 2¹⁹ = 100000099477813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000100002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100002181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75414856051 + ... + 75414857376.

It is an arithmetic number, because the mean of its divisors is an integer number (9502271945964).

Almost surely, 2^{100000100002101} is an apocalyptic number.

It is an amenable number.

100000100002101 is a deficient number, since it is larger than the sum of its proper divisors (52036251133323).

100000100002101 is a wasteful number, since it uses less digits than its factorization.

100000100002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150829713460.

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

Adding to 100000100002101 its reverse (101200001000001), we get a palindrome (201200101002102).

The spelling of 100000100002101 in words is "one hundred trillion, one hundred million, two thousand, one hundred one".