100123023312001 has 2 divisors, whose sum is σ = 100123023312002. Its totient is φ = 100123023312000.

The previous prime is 100123023311981. The next prime is 100123023312029. The reversal of 100123023312001 is 100213320321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88682224431376 + 11440798880625 = 9417124^2 + 3382425^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123023312001 - 2²¹ = 100123021214849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100123023312001.

It is not a weakly prime, because it can be changed into another prime (100123023312401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061511656000 + 50061511656001.

It is an arithmetic number, because the mean of its divisors is an integer number (50061511656001).

Almost surely, 2^{100123023312001} is an apocalyptic number.

It is an amenable number.

100123023312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123023312001 is an equidigital number, since it uses as much as digits as its factorization.

100123023312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100123023312001 its reverse (100213320321001), we get a palindrome (200336343633002).

The spelling of 100123023312001 in words is "one hundred trillion, one hundred twenty-three billion, twenty-three million, three hundred twelve thousand, one".