102133300041 has 24 divisors (see below), whose sum is σ = 151998317640. Its totient is φ = 66053534976.

The previous prime is 102133300037. The next prime is 102133300063. The reversal of 102133300041 is 140003331201.

It can be written as a sum of positive squares in 4 ways, for example, as 44899914816 + 57233385225 = 211896^2 + 239235^2 .

It is not a de Polignac number, because 102133300041 - 2² = 102133300037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102133299987 and 102133300023.

It is not an unprimeable number, because it can be changed into a prime (102133300081) 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 23 ways as a sum of consecutive naturals, for example, 1160446 + ... + 1245351.

It is an arithmetic number, because the mean of its divisors is an integer number (6333263235).

Almost surely, 2^102133300041 is an apocalyptic number.

It is an amenable number.

102133300041 is a deficient number, since it is larger than the sum of its proper divisors (49865017599).

102133300041 is a wasteful number, since it uses less digits than its factorization.

102133300041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405945 (or 2405942 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133300041 its reverse (140003331201), we get a palindrome (242136631242).

The spelling of 102133300041 in words is "one hundred two billion, one hundred thirty-three million, three hundred thousand, forty-one".