102110322400 has 144 divisors (see below), whose sum is σ = 258671100240. Its totient is φ = 39313612800.

The previous prime is 102110322389. The next prime is 102110322407. The reversal of 102110322400 is 4223011201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110322407) 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, 7672552 + ... + 7685848.

It is an arithmetic number, because the mean of its divisors is an integer number (1796327085).

Almost surely, 2^102110322400 is an apocalyptic number.

102110322400 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 102110322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129335550120).

102110322400 is an abundant number, since it is smaller than the sum of its proper divisors (156560777840).

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

102110322400 is a wasteful number, since it uses less digits than its factorization.

102110322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677 (or 13664 counting only the distinct ones).

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

Adding to 102110322400 its reverse (4223011201), we get a palindrome (106333333601).

The spelling of 102110322400 in words is "one hundred two billion, one hundred ten million, three hundred twenty-two thousand, four hundred".