100122020100101 has 2 divisors, whose sum is σ = 100122020100102. Its totient is φ = 100122020100100.

The previous prime is 100122020100071. The next prime is 100122020100121. The reversal of 100122020100101 is 101001020221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53504177769025 + 46617842331076 = 7314655^2 + 6827726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122020100101 - 2³⁴ = 100104840230917 is a prime.

It is a super-3 number, since 3×100122020100101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122020100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010050050 + 50061010050051.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010050051).

Almost surely, 2^{100122020100101} is an apocalyptic number.

It is an amenable number.

100122020100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122020100101 is an equidigital number, since it uses as much as digits as its factorization.

100122020100101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100122020100101 its reverse (101001020221001), we get a palindrome (201123040321102).

The spelling of 100122020100101 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred thousand, one hundred one".