102012211222200 has 144 divisors (see below), whose sum is σ = 357486270775920. Its totient is φ = 26020506040320.

The previous prime is 102012211222099. The next prime is 102012211222277. The reversal of 102012211222200 is 2222112210201.

It is a happy number.

102012211222200 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 221 + 1 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1231990137 + ... + 1232072936.

It is an arithmetic number, because the mean of its divisors is an integer number (2482543547055).

Almost surely, 2^{102012211222200} is an apocalyptic number.

102012211222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012211222200 is an abundant number, since it is smaller than the sum of its proper divisors (255474059553720).

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

102012211222200 is a wasteful number, since it uses less digits than its factorization.

102012211222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464063118 (or 2464063106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012211222200 its reverse (2222112210201), we get a palindrome (104234323432401).

The spelling of 102012211222200 in words is "one hundred two trillion, twelve billion, two hundred eleven million, two hundred twenty-two thousand, two hundred".