100122848192401 has 2 divisors, whose sum is σ = 100122848192402. Its totient is φ = 100122848192400.

The previous prime is 100122848192291. The next prime is 100122848192431. The reversal of 100122848192401 is 104291848221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79037522993025 + 21085325199376 = 8890305^2 + 4591876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122848192401 is a prime.

It is a super-2 number, since 2×100122848192401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100122848192431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061424096200 + 50061424096201.

It is an arithmetic number, because the mean of its divisors is an integer number (50061424096201).

Almost surely, 2^{100122848192401} is an apocalyptic number.

It is an amenable number.

100122848192401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122848192401 is an equidigital number, since it uses as much as digits as its factorization.

100122848192401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 100122848192401 in words is "one hundred trillion, one hundred twenty-two billion, eight hundred forty-eight million, one hundred ninety-two thousand, four hundred one".