100000100002100 has 18 divisors (see below), whose sum is σ = 217000217004774. Its totient is φ = 40000040000800.

The previous prime is 100000100002091. The next prime is 100000100002181. The reversal of 100000100002100 is 1200001000001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1181947306276 + 98818152695824 = 1087174^2 + 9940732^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500000499911 + ... + 500000500110.

Almost surely, 2^{100000100002100} is an apocalyptic number.

100000100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000100002100 is an abundant number, since it is smaller than the sum of its proper divisors (117000117002674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100000100002100 is a wasteful number, since it uses less digits than its factorization.

100000100002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000001000035 (or 1000001000028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100000100002100 its reverse (1200001000001), we get a palindrome (101200101002101).

The spelling of 100000100002100 in words is "one hundred trillion, one hundred million, two thousand, one hundred".