213222210102 has 96 divisors (see below), whose sum is σ = 526842351360. Its totient is φ = 61691847360.

The previous prime is 213222210083. The next prime is 213222210121. The reversal of 213222210102 is 201012222312.

213222210102 is a `hidden beast` number, since 21 + 322 + 221 + 0 + 102 = 666.

213222210102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213222210083) and next prime (213222210121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2494549 + ... + 2578607.

It is an arithmetic number, because the mean of its divisors is an integer number (5487941160).

Almost surely, 2^213222210102 is an apocalyptic number.

213222210102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213222210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263421175680).

213222210102 is an abundant number, since it is smaller than the sum of its proper divisors (313620141258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213222210102 is a wasteful number, since it uses less digits than its factorization.

213222210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84658 (or 84655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213222210102 its reverse (201012222312), we get a palindrome (414234432414).

It can be divided in two parts, 213222210 and 102, that added together give a palindrome (213222312).

The spelling of 213222210102 in words is "two hundred thirteen billion, two hundred twenty-two million, two hundred ten thousand, one hundred two".