100401123001 has 2 divisors, whose sum is σ = 100401123002. Its totient is φ = 100401123000.

The previous prime is 100401122971. The next prime is 100401123007. The reversal of 100401123001 is 100321104001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75143967376 + 25257155625 = 274124^2 + 158925^2 .

It is a cyclic number.

It is not a de Polignac number, because 100401123001 - 2¹⁹ = 100400598713 is a prime.

It is not a weakly prime, because it can be changed into another prime (100401123007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200561500 + 50200561501.

It is an arithmetic number, because the mean of its divisors is an integer number (50200561501).

Almost surely, 2^100401123001 is an apocalyptic number.

It is an amenable number.

100401123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100401123001 is an equidigital number, since it uses as much as digits as its factorization.

100401123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100401123001 its reverse (100321104001), we get a palindrome (200722227002).

The spelling of 100401123001 in words is "one hundred billion, four hundred one million, one hundred twenty-three thousand, one".