100111122212401 has 2 divisors, whose sum is σ = 100111122212402. Its totient is φ = 100111122212400.

The previous prime is 100111122212383. The next prime is 100111122212429. The reversal of 100111122212401 is 104212221111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86345426866176 + 13765695346225 = 9292224^2 + 3710215^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111122212401 - 2⁵ = 100111122212369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111122212701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055561106200 + 50055561106201.

It is an arithmetic number, because the mean of its divisors is an integer number (50055561106201).

Almost surely, 2^{100111122212401} is an apocalyptic number.

It is an amenable number.

100111122212401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111122212401 is an equidigital number, since it uses as much as digits as its factorization.

100111122212401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100111122212401 its reverse (104212221111001), we get a palindrome (204323343323402).

The spelling of 100111122212401 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, four hundred one".