100122002200221 has 16 divisors (see below), whose sum is σ = 134878952693184. Its totient is φ = 66056594978304.

The previous prime is 100122002200169. The next prime is 100122002200243. The reversal of 100122002200221 is 122002200221001.

It is not a de Polignac number, because 100122002200221 - 2²² = 100121998005917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122002200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122002200321) 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, 2676010 + ... + 14401563.

It is an arithmetic number, because the mean of its divisors is an integer number (8429934543324).

Almost surely, 2^{100122002200221} is an apocalyptic number.

It is an amenable number.

100122002200221 is a deficient number, since it is larger than the sum of its proper divisors (34756950492963).

100122002200221 is a wasteful number, since it uses less digits than its factorization.

100122002200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17097820.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122002200221 its reverse (122002200221001), we get a palindrome (222124202421222).

The spelling of 100122002200221 in words is "one hundred trillion, one hundred twenty-two billion, two million, two hundred thousand, two hundred twenty-one".