210100122133 has 16 divisors (see below), whose sum is σ = 231608198016. Its totient is φ = 188996322240.

The previous prime is 210100122109. The next prime is 210100122149. The reversal of 210100122133 is 331221001012.

210100122133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210100122133 - 2¹³ = 210100113941 is a prime.

It is a super-2 number, since 2×210100122133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100129133) 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 15 ways as a sum of consecutive naturals, for example, 1374235 + ... + 1519447.

It is an arithmetic number, because the mean of its divisors is an integer number (14475512376).

Almost surely, 2^210100122133 is an apocalyptic number.

It is an amenable number.

210100122133 is a deficient number, since it is larger than the sum of its proper divisors (21508075883).

210100122133 is a wasteful number, since it uses less digits than its factorization.

210100122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146604.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210100122133 its reverse (331221001012), we get a palindrome (541321123145).

It can be divided in two parts, 210100 and 122133, that added together give a palindrome (332233).

The spelling of 210100122133 in words is "two hundred ten billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-three".