100204002101 has 32 divisors (see below), whose sum is σ = 118597209600. Its totient is φ = 82872066816.

The previous prime is 100204002013. The next prime is 100204002109. The reversal of 100204002101 is 101200402001.

It is a de Polignac number, because none of the positive numbers 2^k-100204002101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100204002109) 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 31 ways as a sum of consecutive naturals, for example, 16335431 + ... + 16341563.

It is an arithmetic number, because the mean of its divisors is an integer number (3706162800).

Almost surely, 2^100204002101 is an apocalyptic number.

It is an amenable number.

100204002101 is a deficient number, since it is larger than the sum of its proper divisors (18393207499).

100204002101 is a wasteful number, since it uses less digits than its factorization.

100204002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100204002101 its reverse (101200402001), we get a palindrome (201404404102).

The spelling of 100204002101 in words is "one hundred billion, two hundred four million, two thousand, one hundred one".