100122100121969 has 2 divisors, whose sum is σ = 100122100121970. Its totient is φ = 100122100121968.

The previous prime is 100122100121951. The next prime is 100122100122007. The reversal of 100122100121969 is 969121001221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82309167553600 + 17812932568369 = 9072440^2 + 4220537^2 .

It is an emirp because it is prime and its reverse (969121001221001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122100121969 is a prime.

It is a super-2 number, since 2×100122100121969² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100122100121669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050060984 + 50061050060985.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050060985).

Almost surely, 2^{100122100121969} is an apocalyptic number.

It is an amenable number.

100122100121969 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122100121969 is an equidigital number, since it uses as much as digits as its factorization.

100122100121969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 100122100121969 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, nine hundred sixty-nine".