102421200 has 240 divisors, whose sum is σ = 381939840. Its totient is φ = 22978560.

The previous prime is 102421199. The next prime is 102421201. The reversal of 102421200 is 2124201.

It is an interprime number because it is at equal distance from previous prime (102421199) and next prime (102421201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102421201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747532 + ... + 747668.

It is an arithmetic number, because the mean of its divisors is an integer number (1591416).

Almost surely, 2^102421200 is an apocalyptic number.

102421200 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 102421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190969920).

102421200 is an abundant number, since it is smaller than the sum of its proper divisors (279518640).

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

102421200 is a wasteful number, since it uses less digits than its factorization.

102421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102421200 is about 10120.3359628028. The cubic root of 102421200 is about 467.8751219154.

Adding to 102421200 its reverse (2124201), we get a palindrome (104545401).

The spelling of 102421200 in words is "one hundred two million, four hundred twenty-one thousand, two hundred".