1010002102133 has 16 divisors (see below), whose sum is σ = 1039220945280. Its totient is φ = 981005721600.

The previous prime is 1010002102099. The next prime is 1010002102169. The reversal of 1010002102133 is 3312012000101.

1010002102133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010002102133 - 2²⁸ = 1009733666677 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 (1010002102933) 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, 20322128 + ... + 20371766.

It is an arithmetic number, because the mean of its divisors is an integer number (64951309080).

Almost surely, 2^{1010002102133} is an apocalyptic number.

It is an amenable number.

1010002102133 is a deficient number, since it is larger than the sum of its proper divisors (29218843147).

1010002102133 is a wasteful number, since it uses less digits than its factorization.

1010002102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51868.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010002102133 its reverse (3312012000101), we get a palindrome (4322014102234).

The spelling of 1010002102133 in words is "one trillion, ten billion, two million, one hundred two thousand, one hundred thirty-three".