100122020100121 has 2 divisors, whose sum is σ = 100122020100122. Its totient is φ = 100122020100120.

The previous prime is 100122020100101. The next prime is 100122020100197. The reversal of 100122020100121 is 121001020221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86049018140121 + 14073001960000 = 9276261^2 + 3751400^2 .

It is an emirp because it is prime and its reverse (121001020221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100122020100121 - 2²¹ = 100122018002969 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122020100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010050060 + 50061010050061.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010050061).

Almost surely, 2^{100122020100121} is an apocalyptic number.

It is an amenable number.

100122020100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122020100121 is an equidigital number, since it uses as much as digits as its factorization.

100122020100121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122020100121 its reverse (121001020221001), we get a palindrome (221123040321122).

The spelling of 100122020100121 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred thousand, one hundred twenty-one".