10112002021001 has 2 divisors, whose sum is σ = 10112002021002. Its totient is φ = 10112002021000.

The previous prime is 10112002020941. The next prime is 10112002021007. The reversal of 10112002021001 is 10012020021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9860824638025 + 251177382976 = 3140195^2 + 501176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112002021001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112002021007) 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, 5056001010500 + 5056001010501.

It is an arithmetic number, because the mean of its divisors is an integer number (5056001010501).

Almost surely, 2^{10112002021001} is an apocalyptic number.

It is an amenable number.

10112002021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112002021001 is an equidigital number, since it uses as much as digits as its factorization.

10112002021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112002021001 its reverse (10012020021101), we get a palindrome (20124022042102).

The spelling of 10112002021001 in words is "ten trillion, one hundred twelve billion, two million, twenty-one thousand, one".