1002002112101 has 16 divisors (see below), whose sum is σ = 1039414099200. Its totient is φ = 964784520000.

The previous prime is 1002002112061. The next prime is 1002002112109. The reversal of 1002002112101 is 1012112002001.

It is a cyclic number.

It is not a de Polignac number, because 1002002112101 - 2¹⁸ = 1002001849957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002112109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15408866 + ... + 15473756.

It is an arithmetic number, because the mean of its divisors is an integer number (64963381200).

Almost surely, 2^{1002002112101} is an apocalyptic number.

It is an amenable number.

1002002112101 is a deficient number, since it is larger than the sum of its proper divisors (37411987099).

1002002112101 is an equidigital number, since it uses as much as digits as its factorization.

1002002112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66380.

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

Adding to 1002002112101 its reverse (1012112002001), we get a palindrome (2014114114102).

The spelling of 1002002112101 in words is "one trillion, two billion, two million, one hundred twelve thousand, one hundred one".