100002200012100 has 81 divisors (see below), whose sum is σ = 313452280606647. Its totient is φ = 26667173335680.

The previous prime is 100002200012059. The next prime is 100002200012119. The reversal of 100002200012100 is 1210002200001.

The square root of 100002200012100 is 10000110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8007552976644 + 91994647035456 = 2829762^2 + 9591384^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299836632 + ... + 300169968.

Almost surely, 2^{100002200012100} is an apocalyptic number.

100002200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100002200012100 is the 10000110-th square number.

It is an amenable number.

100002200012100 is an abundant number, since it is smaller than the sum of its proper divisors (213450080594547).

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

100002200012100 is an frugal number, since it uses more digits than its factorization.

100002200012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666694 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002200012100 its reverse (1210002200001), we get a palindrome (101212202212101).

The spelling of 100002200012100 in words is "one hundred trillion, two billion, two hundred million, twelve thousand, one hundred".