10002103101133 has 32 divisors (see below), whose sum is σ = 13096780583040. Its totient is φ = 7483874549760.

The previous prime is 10002103101083. The next prime is 10002103101149. The reversal of 10002103101133 is 33110130120001.

It is a cyclic number.

It is not a de Polignac number, because 10002103101133 - 2³⁷ = 9864664147661 is a prime.

It is a super-4 number, since 4×10002103101133⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002103101533) 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 31 ways as a sum of consecutive naturals, for example, 108227460 + ... + 108319837.

It is an arithmetic number, because the mean of its divisors is an integer number (409274393220).

Almost surely, 2^{10002103101133} is an apocalyptic number.

10002103101133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002103101133 is a deficient number, since it is larger than the sum of its proper divisors (3094677481907).

10002103101133 is a wasteful number, since it uses less digits than its factorization.

10002103101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216547357.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10002103101133 its reverse (33110130120001), we get a palindrome (43112233221134).

The spelling of 10002103101133 in words is "ten trillion, two billion, one hundred three million, one hundred one thousand, one hundred thirty-three".