102414221400 has 192 divisors, whose sum is σ = 324126709920. Its totient is φ = 26741145600.

The previous prime is 102414221381. The next prime is 102414221411. The reversal of 102414221400 is 4122414201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17200824 + ... + 17206776.

Almost surely, 2^102414221400 is an apocalyptic number.

102414221400 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 102414221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162063354960).

102414221400 is an abundant number, since it is smaller than the sum of its proper divisors (221712488520).

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

102414221400 is a wasteful number, since it uses less digits than its factorization.

102414221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102414221400 its reverse (4122414201), we get a palindrome (106536635601).

The spelling of 102414221400 in words is "one hundred two billion, four hundred fourteen million, two hundred twenty-one thousand, four hundred".