102133201014 has 24 divisors (see below), whose sum is σ = 238310802912. Its totient is φ = 31425600240.

The previous prime is 102133201013. The next prime is 102133201033. The reversal of 102133201014 is 410102331201.

102133201014 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102133201014² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133201013) 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 11 ways as a sum of consecutive naturals, for example, 218233102 + ... + 218233569.

It is an arithmetic number, because the mean of its divisors is an integer number (9929616788).

Almost surely, 2^102133201014 is an apocalyptic number.

102133201014 is an abundant number, since it is smaller than the sum of its proper divisors (136177601898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133201014 is a wasteful number, since it uses less digits than its factorization.

102133201014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436466692 (or 436466689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102133201014 its reverse (410102331201), we get a palindrome (512235532215).

The spelling of 102133201014 in words is "one hundred two billion, one hundred thirty-three million, two hundred one thousand, fourteen".