2102113011033 has 24 divisors (see below), whose sum is σ = 3621031110528. Its totient is φ = 1148981023872.

The previous prime is 2102113011029. The next prime is 2102113011067. The reversal of 2102113011033 is 3301103112012.

It is not a de Polignac number, because 2102113011033 - 2² = 2102113011029 is a prime.

It is a super-2 number, since 2×2102113011033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102113010997 and 2102113011015.

It is not an unprimeable number, because it can be changed into a prime (2102113011073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725365360 + ... + 725368257.

It is an arithmetic number, because the mean of its divisors is an integer number (150876296272).

Almost surely, 2^{2102113011033} is an apocalyptic number.

2102113011033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2102113011033 is a deficient number, since it is larger than the sum of its proper divisors (1518918099495).

2102113011033 is a wasteful number, since it uses less digits than its factorization.

2102113011033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450733653 (or 1450733650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2102113011033 its reverse (3301103112012), we get a palindrome (5403216123045).

The spelling of 2102113011033 in words is "two trillion, one hundred two billion, one hundred thirteen million, eleven thousand, thirty-three".