100210014440133 has 16 divisors (see below), whose sum is σ = 150147446386560. Its totient is φ = 58986496793664.

The previous prime is 100210014440089. The next prime is 100210014440143. The reversal of 100210014440133 is 331044410012001.

It is not a de Polignac number, because 100210014440133 - 2⁸ = 100210014439877 is a prime.

It is a super-4 number, since 4×100210014440133⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210014440143) 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 15 ways as a sum of consecutive naturals, for example, 55858424098 + ... + 55858425891.

It is an arithmetic number, because the mean of its divisors is an integer number (9384215399160).

Almost surely, 2^{100210014440133} is an apocalyptic number.

100210014440133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100210014440133 is a deficient number, since it is larger than the sum of its proper divisors (49937431946427).

100210014440133 is a wasteful number, since it uses less digits than its factorization.

100210014440133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111716850028.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100210014440133 its reverse (331044410012001), we get a palindrome (431254424452134).

The spelling of 100210014440133 in words is "one hundred trillion, two hundred ten billion, fourteen million, four hundred forty thousand, one hundred thirty-three".