10102322133321 has 64 divisors (see below), whose sum is σ = 15365963298816. Its totient is φ = 5849347046400.

The previous prime is 10102322133283. The next prime is 10102322133331. The reversal of 10102322133321 is 12333122320101.

It is not a de Polignac number, because 10102322133321 - 2¹⁰ = 10102322132297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102322133291 and 10102322133300.

It is not an unprimeable number, because it can be changed into a prime (10102322133331) 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 63 ways as a sum of consecutive naturals, for example, 25243441 + ... + 25640513.

It is an arithmetic number, because the mean of its divisors is an integer number (240093176544).

Almost surely, 2^{10102322133321} is an apocalyptic number.

10102322133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102322133321 is a deficient number, since it is larger than the sum of its proper divisors (5263641165495).

10102322133321 is a wasteful number, since it uses less digits than its factorization.

10102322133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397502.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10102322133321 its reverse (12333122320101), we get a palindrome (22435444453422).

The spelling of 10102322133321 in words is "ten trillion, one hundred two billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred twenty-one".