10102133223200 has 72 divisors (see below), whose sum is σ = 24818914776852. Its totient is φ = 4015115320320.

The previous prime is 10102133223157. The next prime is 10102133223227. The reversal of 10102133223200 is 232233120101.

It can be written as a sum of positive squares in 6 ways, for example, as 570514344976 + 9531618878224 = 755324^2 + 3087332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40089899 + ... + 40341098.

Almost surely, 2^{10102133223200} is an apocalyptic number.

10102133223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102133223200 is an abundant number, since it is smaller than the sum of its proper divisors (14716781553652).

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

10102133223200 is a wasteful number, since it uses less digits than its factorization.

10102133223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80431174 (or 80431161 counting only the distinct ones).

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

Adding to 10102133223200 its reverse (232233120101), we get a palindrome (10334366343301).

The spelling of 10102133223200 in words is "ten trillion, one hundred two billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred".