100120120212221 has 8 divisors (see below), whose sum is σ = 106009765108920. Its totient is φ = 94230500433408.

The previous prime is 100120120212209. The next prime is 100120120212397. The reversal of 100120120212221 is 122212021021001.

It can be written as a sum of positive squares in 4 ways, for example, as 20493855756196 + 79626264456025 = 4527014^2 + 8923355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120120212221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100120120212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120120242221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2258735 + ... + 14329763.

It is an arithmetic number, because the mean of its divisors is an integer number (13251220638615).

Almost surely, 2^{100120120212221} is an apocalyptic number.

It is an amenable number.

100120120212221 is a deficient number, since it is larger than the sum of its proper divisors (5889644896699).

100120120212221 is a wasteful number, since it uses less digits than its factorization.

100120120212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558943.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100120120212221 its reverse (122212021021001), we get a palindrome (222332141233222).

The spelling of 100120120212221 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty-one".