100122122212061 has 2 divisors, whose sum is σ = 100122122212062. Its totient is φ = 100122122212060.

The previous prime is 100122122212009. The next prime is 100122122212117. The reversal of 100122122212061 is 160212221221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74491899695161 + 25630222516900 = 8630869^2 + 5062630^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122122212061 - 2¹⁴ = 100122122195677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122122218061) 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 as a sum of consecutive naturals, namely, 50061061106030 + 50061061106031.

It is an arithmetic number, because the mean of its divisors is an integer number (50061061106031).

Almost surely, 2^{100122122212061} is an apocalyptic number.

It is an amenable number.

100122122212061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122122212061 is an equidigital number, since it uses as much as digits as its factorization.

100122122212061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 100122122212061 its reverse (160212221221001), we get a palindrome (260334343433062).

The spelling of 100122122212061 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, sixty-one".