100123001201 has 2 divisors, whose sum is σ = 100123001202. Its totient is φ = 100123001200.

The previous prime is 100123001191. The next prime is 100123001213. The reversal of 100123001201 is 102100321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87498231601 + 12624769600 = 295801^2 + 112360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100123001201 is a prime.

It is not a weakly prime, because it can be changed into another prime (100123001221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061500600 + 50061500601.

It is an arithmetic number, because the mean of its divisors is an integer number (50061500601).

Almost surely, 2^100123001201 is an apocalyptic number.

It is an amenable number.

100123001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123001201 is an equidigital number, since it uses as much as digits as its factorization.

100123001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100123001201 its reverse (102100321001), we get a palindrome (202223322202).

The spelling of 100123001201 in words is "one hundred billion, one hundred twenty-three million, one thousand, two hundred one".