102133545331201 has 64 divisors (see below), whose sum is σ = 107836641349632. Its totient is φ = 96643497600000.

The previous prime is 102133545331193. The next prime is 102133545331231.

102133545331201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102133545331201 - 2³ = 102133545331193 is a prime.

It is a super-3 number, since 3×102133545331201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102133545331231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58663724191 + ... + 58663725931.

It is an arithmetic number, because the mean of its divisors is an integer number (1684947521088).

Almost surely, 2^{102133545331201} is an apocalyptic number.

It is an amenable number.

102133545331201 is a deficient number, since it is larger than the sum of its proper divisors (5703096018431).

102133545331201 is a wasteful number, since it uses less digits than its factorization.

102133545331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 102133545331201 in words is "one hundred two trillion, one hundred thirty-three billion, five hundred forty-five million, three hundred thirty-one thousand, two hundred one".