102211022200000 has 672 divisors, whose sum is σ = 298631546357760. Its totient is φ = 33981120000000.

The previous prime is 102211022199989. The next prime is 102211022200003. The reversal of 102211022200000 is 2220112201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102211022200003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7172192875 + ... + 7172207125.

It is an arithmetic number, because the mean of its divisors is an integer number (444392182080).

Almost surely, 2^{102211022200000} is an apocalyptic number.

102211022200000 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 102211022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149315773178880).

102211022200000 is an abundant number, since it is smaller than the sum of its proper divisors (196420524157760).

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

102211022200000 is an equidigital number, since it uses as much as digits as its factorization.

102211022200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451 (or 14421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102211022200000 its reverse (2220112201), we get a palindrome (102213242312201).

The spelling of 102211022200000 in words is "one hundred two trillion, two hundred eleven billion, twenty-two million, two hundred thousand".