120001000100021 has 2 divisors, whose sum is σ = 120001000100022. Its totient is φ = 120001000100020.

The previous prime is 120001000099993. The next prime is 120001000100027.

120001000100021 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107156761239025 + 12844238860996 = 10351655^2 + 3583886^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 120001000100021 - 2¹⁰ = 120001000098997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120001000099981 and 120001000100008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120001000100027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60000500050010 + 60000500050011.

It is an arithmetic number, because the mean of its divisors is an integer number (60000500050011).

Almost surely, 2^{120001000100021} is an apocalyptic number.

It is an amenable number.

120001000100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

120001000100021 is an equidigital number, since it uses as much as digits as its factorization.

120001000100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 120001000 and 100021, that added together give a palindrome (120101021).

The spelling of 120001000100021 in words is "one hundred twenty trillion, one billion, one hundred thousand, twenty-one".