100010000122121 has 2 divisors, whose sum is σ = 100010000122122. Its totient is φ = 100010000122120.

The previous prime is 100010000122073. The next prime is 100010000122181. The reversal of 100010000122121 is 121221000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86805352329721 + 13204647792400 = 9316939^2 + 3633820^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010000122121 - 2²² = 100009995927817 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010000122181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000061060 + 50005000061061.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000061061).

Almost surely, 2^{100010000122121} is an apocalyptic number.

It is an amenable number.

100010000122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010000122121 is an equidigital number, since it uses as much as digits as its factorization.

100010000122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010000122121 its reverse (121221000010001), we get a palindrome (221231000132122).

The spelling of 100010000122121 in words is "one hundred trillion, ten billion, one hundred twenty-two thousand, one hundred twenty-one".