102211322300 has 36 divisors (see below), whose sum is σ = 224836922016. Its totient is φ = 40324464000.

The previous prime is 102211322251. The next prime is 102211322341. The reversal of 102211322300 is 3223112201.

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 11 ways as a sum of consecutive naturals, for example, 6993476 + ... + 7008075.

It is an arithmetic number, because the mean of its divisors is an integer number (6245470056).

Almost surely, 2^102211322300 is an apocalyptic number.

102211322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211322300 is an abundant number, since it is smaller than the sum of its proper divisors (122625599716).

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

102211322300 is a wasteful number, since it uses less digits than its factorization.

102211322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001638 (or 14001631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102211322300 its reverse (3223112201), we get a palindrome (105434434501).

The spelling of 102211322300 in words is "one hundred two billion, two hundred eleven million, three hundred twenty-two thousand, three hundred".