100002122000213 has 16 divisors (see below), whose sum is σ = 103480531070400. Its totient is φ = 96576176188800.

The previous prime is 100002122000191. The next prime is 100002122000279. The reversal of 100002122000213 is 312000221200001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100002122000213 - 2²⁸ = 100001853564757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002122000813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136837343 + ... + 137566211.

It is an arithmetic number, because the mean of its divisors is an integer number (6467533191900).

Almost surely, 2^{100002122000213} is an apocalyptic number.

It is an amenable number.

100002122000213 is a deficient number, since it is larger than the sum of its proper divisors (3478409070187).

100002122000213 is an equidigital number, since it uses as much as digits as its factorization.

100002122000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764852.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100002122000213 its reverse (312000221200001), we get a palindrome (412002343200214).

The spelling of 100002122000213 in words is "one hundred trillion, two billion, one hundred twenty-two million, two hundred thirteen", and thus it is an aban number.