102211200 has 576 divisors, whose sum is σ = 462916800. Its totient is φ = 21565440.

The previous prime is 102211199. The next prime is 102211217. The reversal of 102211200 is 2112201.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7862394 + ... + 7862406.

It is an arithmetic number, because the mean of its divisors is an integer number (803675).

Almost surely, 2^102211200 is an apocalyptic number.

102211200 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 102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231458400).

102211200 is an abundant number, since it is smaller than the sum of its proper divisors (360705600).

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

102211200 is a wasteful number, since it uses less digits than its factorization.

102211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102211200 is about 10109.9554895163. The cubic root of 102211200 is about 467.5551328117. Note that the first 3 decimals are identical.

Adding to 102211200 its reverse (2112201), we get a palindrome (104323401).

The spelling of 102211200 in words is "one hundred two million, two hundred eleven thousand, two hundred".