102212200312033 has 24 divisors (see below), whose sum is σ = 123298326253248. Its totient is φ = 82990833108768.

The previous prime is 102212200312009. The next prime is 102212200312039. The reversal of 102212200312033 is 330213002212201.

It is not a de Polignac number, because 102212200312033 - 2²⁵ = 102212166757601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212200311995 and 102212200312013.

It is not an unprimeable number, because it can be changed into a prime (102212200312039) 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 23 ways as a sum of consecutive naturals, for example, 22517410 + ... + 26673172.

It is an arithmetic number, because the mean of its divisors is an integer number (5137430260552).

Almost surely, 2^{102212200312033} is an apocalyptic number.

It is an amenable number.

102212200312033 is a deficient number, since it is larger than the sum of its proper divisors (21086125941215).

102212200312033 is an equidigital number, since it uses as much as digits as its factorization.

102212200312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165541 (or 4165522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102212200312033 its reverse (330213002212201), we get a palindrome (432425202524234).

The spelling of 102212200312033 in words is "one hundred two trillion, two hundred twelve billion, two hundred million, three hundred twelve thousand, thirty-three".