102213123233 has 16 divisors (see below), whose sum is σ = 110590289040. Its totient is φ = 93910489344.

The previous prime is 102213123227. The next prime is 102213123263. The reversal of 102213123233 is 332321312201.

It can be written as a sum of positive squares in 8 ways, for example, as 2447478784 + 99765644449 = 49472^2 + 315857^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213123233 - 2⁴ = 102213123217 is a prime.

It is a super-2 number, since 2×102213123233² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213123199 and 102213123208.

It is not an unprimeable number, because it can be changed into a prime (102213123223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2447435 + ... + 2488847.

It is an arithmetic number, because the mean of its divisors is an integer number (6911893065).

Almost surely, 2^102213123233 is an apocalyptic number.

102213123233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102213123233 is a deficient number, since it is larger than the sum of its proper divisors (8377165807).

102213123233 is a wasteful number, since it uses less digits than its factorization.

102213123233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42308.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102213123233 its reverse (332321312201), we get a palindrome (434534435434).

The spelling of 102213123233 in words is "one hundred two billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred thirty-three".