1002120100001 has 2 divisors, whose sum is σ = 1002120100002. Its totient is φ = 1002120100000.

The previous prime is 1002120099979. The next prime is 1002120100031. The reversal of 1002120100001 is 1000010212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 654699448225 + 347420651776 = 809135^2 + 589424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002120100001 - 2²² = 1002115905697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002120100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060050000 + 501060050001.

It is an arithmetic number, because the mean of its divisors is an integer number (501060050001).

Almost surely, 2^{1002120100001} is an apocalyptic number.

It is an amenable number.

1002120100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002120100001 is an equidigital number, since it uses as much as digits as its factorization.

1002120100001 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.

Adding to 1002120100001 its reverse (1000010212001), we get a palindrome (2002130312002).

The spelling of 1002120100001 in words is "one trillion, two billion, one hundred twenty million, one hundred thousand, one".