10102232213333 has 16 divisors (see below), whose sum is σ = 11058810159600. Its totient is φ = 9171326062080.

The previous prime is 10102232213267. The next prime is 10102232213341. The reversal of 10102232213333 is 33331223220101.

It can be written as a sum of positive squares in 8 ways, for example, as 34290521329 + 10067941692004 = 185177^2 + 3173002^2 .

It is not a de Polignac number, because 10102232213333 - 2²⁶ = 10102165104469 is a prime.

It is a super-3 number, since 3×10102232213333³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102232233333) 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 15 ways as a sum of consecutive naturals, for example, 7146353 + ... + 8442441.

It is an arithmetic number, because the mean of its divisors is an integer number (691175634975).

Almost surely, 2^{10102232213333} is an apocalyptic number.

10102232213333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102232213333 is a deficient number, since it is larger than the sum of its proper divisors (956577946267).

10102232213333 is a wasteful number, since it uses less digits than its factorization.

10102232213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305992.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10102232213333 its reverse (33331223220101), we get a palindrome (43433455433434).

The spelling of 10102232213333 in words is "ten trillion, one hundred two billion, two hundred thirty-two million, two hundred thirteen thousand, three hundred thirty-three".