102210321400 has 144 divisors (see below), whose sum is σ = 274955448600. Its totient is φ = 35211052800.

The previous prime is 102210321377. The next prime is 102210321497. The reversal of 102210321400 is 4123012201.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 348654 + ... + 570946.

Almost surely, 2^102210321400 is an apocalyptic number.

102210321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137477724300).

102210321400 is an abundant number, since it is smaller than the sum of its proper divisors (172745127200).

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

102210321400 is a wasteful number, since it uses less digits than its factorization.

102210321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222350 (or 222330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102210321400 its reverse (4123012201), we get a palindrome (106333333601).

The spelling of 102210321400 in words is "one hundred two billion, two hundred ten million, three hundred twenty-one thousand, four hundred".