102211002300 has 144 divisors (see below), whose sum is σ = 341592636672. Its totient is φ = 23320857600.

The previous prime is 102211002293. The next prime is 102211002307. The reversal of 102211002300 is 3200112201.

It is an interprime number because it is at equal distance from previous prime (102211002293) and next prime (102211002307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211002307) 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 47 ways as a sum of consecutive naturals, for example, 854872 + ... + 967071.

It is an arithmetic number, because the mean of its divisors is an integer number (2372171088).

Almost surely, 2^102211002300 is an apocalyptic number.

102211002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211002300 is an abundant number, since it is smaller than the sum of its proper divisors (239381634372).

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

102211002300 is a wasteful number, since it uses less digits than its factorization.

102211002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821988 (or 1821981 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102211002300 its reverse (3200112201), we get a palindrome (105411114501).

The spelling of 102211002300 in words is "one hundred two billion, two hundred eleven million, two thousand, three hundred".