10102200102223 has 8 divisors (see below), whose sum is σ = 10596044986848. Its totient is φ = 9612906783744.

The previous prime is 10102200102193. The next prime is 10102200102271. The reversal of 10102200102223 is 32220100220101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102200102223 - 2¹⁷ = 10102199971151 is a prime.

It is a super-3 number, since 3×10102200102223³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102200102197 and 10102200102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102200102823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1137886990 + ... + 1137895867.

It is an arithmetic number, because the mean of its divisors is an integer number (1324505623356).

Almost surely, 2^{10102200102223} is an apocalyptic number.

10102200102223 is a deficient number, since it is larger than the sum of its proper divisors (493844884625).

10102200102223 is a wasteful number, since it uses less digits than its factorization.

10102200102223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275783073.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10102200102223 its reverse (32220100220101), we get a palindrome (42322300322324).

The spelling of 10102200102223 in words is "ten trillion, one hundred two billion, two hundred million, one hundred two thousand, two hundred twenty-three".