100002212112221 has 8 divisors (see below), whose sum is σ = 100187577958104. Its totient is φ = 99816848182080.

The previous prime is 100002212112197. The next prime is 100002212112233. The reversal of 100002212112221 is 122211212200001.

It can be written as a sum of positive squares in 4 ways, for example, as 10735353955225 + 89266858156996 = 3276485^2 + 9448114^2 .

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-100002212112221 is a prime.

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 100002212112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002212112521) 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, 144780335 + ... + 145469411.

It is an arithmetic number, because the mean of its divisors is an integer number (12523447244763).

Almost surely, 2^{100002212112221} is an apocalyptic number.

It is an amenable number.

100002212112221 is a deficient number, since it is larger than the sum of its proper divisors (185365845883).

100002212112221 is an equidigital number, since it uses as much as digits as its factorization.

100002212112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957871.

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

Adding to 100002212112221 its reverse (122211212200001), we get a palindrome (222213424312222).

The spelling of 100002212112221 in words is "one hundred trillion, two billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty-one".