102122422400 has 96 divisors (see below), whose sum is σ = 252375788880. Its totient is φ = 40832537600.

The previous prime is 102122422399. The next prime is 102122422439. The reversal of 102122422400 is 4224221201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10782467 + ... + 10791933.

Almost surely, 2^102122422400 is an apocalyptic number.

102122422400 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 102122422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126187894440).

102122422400 is an abundant number, since it is smaller than the sum of its proper divisors (150253366480).

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

102122422400 is an equidigital number, since it uses as much as digits as its factorization.

102122422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102122422400 its reverse (4224221201), we get a palindrome (106346643601).

The spelling of 102122422400 in words is "one hundred two billion, one hundred twenty-two million, four hundred twenty-two thousand, four hundred".