102000312201233 has 16 divisors (see below), whose sum is σ = 104540919141456. Its totient is φ = 99462231644160.

The previous prime is 102000312201223. The next prime is 102000312201241. The reversal of 102000312201233 is 332102213000201.

It can be written as a sum of positive squares in 8 ways, for example, as 14987366307904 + 87012945893329 = 3871352^2 + 9328073^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000312201233 - 2⁶ = 102000312201169 is a prime.

It is a super-3 number, since 3×102000312201233³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000312201223) 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 15 ways as a sum of consecutive naturals, for example, 698401385 + ... + 698547417.

It is an arithmetic number, because the mean of its divisors is an integer number (6533807446341).

Almost surely, 2^{102000312201233} is an apocalyptic number.

It is an amenable number.

102000312201233 is a deficient number, since it is larger than the sum of its proper divisors (2540606940223).

102000312201233 is a wasteful number, since it uses less digits than its factorization.

102000312201233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154564.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102000312201233 its reverse (332102213000201), we get a palindrome (434102525201434).

The spelling of 102000312201233 in words is "one hundred two trillion, three hundred twelve million, two hundred one thousand, two hundred thirty-three".