100213120121 has 2 divisors, whose sum is σ = 100213120122. Its totient is φ = 100213120120.

The previous prime is 100213120069. The next prime is 100213120127. The reversal of 100213120121 is 121021312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100212766096 + 354025 = 316564^2 + 595^2 .

It is an emirp because it is prime and its reverse (121021312001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100213120121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213120096 and 100213120105.

It is not a weakly prime, because it can be changed into another prime (100213120127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106560060 + 50106560061.

It is an arithmetic number, because the mean of its divisors is an integer number (50106560061).

Almost surely, 2^100213120121 is an apocalyptic number.

It is an amenable number.

100213120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213120121 is an equidigital number, since it uses as much as digits as its factorization.

100213120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100213120121 its reverse (121021312001), we get a palindrome (221234432122).

The spelling of 100213120121 in words is "one hundred billion, two hundred thirteen million, one hundred twenty thousand, one hundred twenty-one".