100120002121301 has 2 divisors, whose sum is σ = 100120002121302. Its totient is φ = 100120002121300.

The previous prime is 100120002121193. The next prime is 100120002121309. The reversal of 100120002121301 is 103121200021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75817961437201 + 24302040684100 = 8707351^2 + 4929710^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120002121301 - 2³⁴ = 100102822252117 is a prime.

It is a super-3 number, since 3×100120002121301³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120002121309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060001060650 + 50060001060651.

It is an arithmetic number, because the mean of its divisors is an integer number (50060001060651).

Almost surely, 2^{100120002121301} is an apocalyptic number.

It is an amenable number.

100120002121301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120002121301 is an equidigital number, since it uses as much as digits as its factorization.

100120002121301 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 14.

Adding to 100120002121301 its reverse (103121200021001), we get a palindrome (203241202142302).

The spelling of 100120002121301 in words is "one hundred trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, three hundred one".