100210334133 has 48 divisors (see below), whose sum is σ = 169820462976. Its totient is φ = 51429530880.

The previous prime is 100210334117. The next prime is 100210334137. The reversal of 100210334133 is 331433012001.

It is not a de Polignac number, because 100210334133 - 2⁴ = 100210334117 is a prime.

It is a super-2 number, since 2×100210334133² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210334137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250258 + ... + 512883.

It is an arithmetic number, because the mean of its divisors is an integer number (3537926312).

Almost surely, 2^100210334133 is an apocalyptic number.

100210334133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100210334133 is a deficient number, since it is larger than the sum of its proper divisors (69610128843).

100210334133 is a wasteful number, since it uses less digits than its factorization.

100210334133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763214 (or 763201 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100210334133 its reverse (331433012001), we get a palindrome (431643346134).

The spelling of 100210334133 in words is "one hundred billion, two hundred ten million, three hundred thirty-four thousand, one hundred thirty-three".