1010002101001 has 2 divisors, whose sum is σ = 1010002101002. Its totient is φ = 1010002101000.

The previous prime is 1010002100999. The next prime is 1010002101019. The reversal of 1010002101001 is 1001012000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 918904374025 + 91097726976 = 958595^2 + 301824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010002101001 - 2¹ = 1010002100999 is a prime.

Together with 1010002100999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1010002101301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505001050500 + 505001050501.

It is an arithmetic number, because the mean of its divisors is an integer number (505001050501).

Almost surely, 2^{1010002101001} is an apocalyptic number.

It is an amenable number.

1010002101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010002101001 is an equidigital number, since it uses as much as digits as its factorization.

1010002101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010002101001 its reverse (1001012000101), we get a palindrome (2011014101102).

The spelling of 1010002101001 in words is "one trillion, ten billion, two million, one hundred one thousand, one".