1002112002101 has 6 divisors (see below), whose sum is σ = 1165722124950. Its totient is φ = 858953144616.

The previous prime is 1002112002079. The next prime is 1002112002119. The reversal of 1002112002101 is 1012002112001.

It can be written as a sum of positive squares in only one way, i.e., 687083499025 + 315028503076 = 828905^2 + 561274^2 .

It is not a de Polignac number, because 1002112002101 - 2¹⁸ = 1002111739957 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 (1002112002131) 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 in 5 ways as a sum of consecutive naturals, for example, 10225632626 + ... + 10225632723.

It is an arithmetic number, because the mean of its divisors is an integer number (194287020825).

Almost surely, 2^{1002112002101} is an apocalyptic number.

It is an amenable number.

1002112002101 is a deficient number, since it is larger than the sum of its proper divisors (163610122849).

1002112002101 is an equidigital number, since it uses as much as digits as its factorization.

1002112002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451265363 (or 20451265356 counting only the distinct ones).

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

Adding to 1002112002101 its reverse (1012002112001), we get a palindrome (2014114114102).

The spelling of 1002112002101 in words is "one trillion, two billion, one hundred twelve million, two thousand, one hundred one".