100002121222221 has 12 divisors (see below), whose sum is σ = 148351495146972. Its totient is φ = 64866240792576.

The previous prime is 100002121222183. The next prime is 100002121222231. The reversal of 100002121222221 is 122222121200001.

It is a happy number.

100002121222221 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 212 + 1 + 222 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64140156650025 + 35861964572196 = 8008755^2 + 5988486^2 .

It is not a de Polignac number, because 100002121222221 - 2⁷ = 100002121222093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002121222194 and 100002121222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002121222231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150153334836 + ... + 150153335501.

It is an arithmetic number, because the mean of its divisors is an integer number (12362624595581).

Almost surely, 2^{100002121222221} is an apocalyptic number.

It is an amenable number.

100002121222221 is a deficient number, since it is larger than the sum of its proper divisors (48349373924751).

100002121222221 is a wasteful number, since it uses less digits than its factorization.

100002121222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300306670380 (or 300306670377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100002121222221 its reverse (122222121200001), we get a palindrome (222224242422222).

The spelling of 100002121222221 in words is "one hundred trillion, two billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty-one".