100120121202001 has 2 divisors, whose sum is σ = 100120121202002. Its totient is φ = 100120121202000.

The previous prime is 100120121201993. The next prime is 100120121202037. The reversal of 100120121202001 is 100202121021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66727267592976 + 33392853609025 = 8168676^2 + 5778655^2 .

It is an emirp because it is prime and its reverse (100202121021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120121202001 - 2³ = 100120121201993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120121202071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060060601000 + 50060060601001.

It is an arithmetic number, because the mean of its divisors is an integer number (50060060601001).

Almost surely, 2^{100120121202001} is an apocalyptic number.

It is an amenable number.

100120121202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120121202001 is an equidigital number, since it uses as much as digits as its factorization.

100120121202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100120121202001 its reverse (100202121021001), we get a palindrome (200322242223002).

The spelling of 100120121202001 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-one million, two hundred two thousand, one".