100121122012001 has 2 divisors, whose sum is σ = 100121122012002. Its totient is φ = 100121122012000.

The previous prime is 100121122011899. The next prime is 100121122012027. The reversal of 100121122012001 is 100210221121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50996723157601 + 49124398854400 = 7141199^2 + 7008880^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121122012001 - 2³⁴ = 100103942142817 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121122012201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060561006000 + 50060561006001.

It is an arithmetic number, because the mean of its divisors is an integer number (50060561006001).

Almost surely, 2^{100121122012001} is an apocalyptic number.

It is an amenable number.

100121122012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121122012001 is an equidigital number, since it uses as much as digits as its factorization.

100121122012001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121122012001 its reverse (100210221121001), we get a palindrome (200331343133002).

The spelling of 100121122012001 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, one".