102212002211200 has 288 divisors, whose sum is σ = 297437358549600. Its totient is φ = 34600514457600.

The previous prime is 102212002211177. The next prime is 102212002211251. The reversal of 102212002211200 is 2112200212201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8261490 + ... + 16512910.

It is an arithmetic number, because the mean of its divisors is an integer number (1032768606075).

Almost surely, 2^{102212002211200} is an apocalyptic number.

102212002211200 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 102212002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148718679274800).

102212002211200 is an abundant number, since it is smaller than the sum of its proper divisors (195225356338400).

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

102212002211200 is an equidigital number, since it uses as much as digits as its factorization.

102212002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251538 (or 8251514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212002211200 its reverse (2112200212201), we get a palindrome (104324202423401).

The spelling of 102212002211200 in words is "one hundred two trillion, two hundred twelve billion, two million, two hundred eleven thousand, two hundred".