212200112220100 has 144 divisors (see below), whose sum is σ = 476568660528576. Its totient is φ = 81960943680000.

The previous prime is 212200112220097. The next prime is 212200112220127. The reversal of 212200112220100 is 1022211002212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286702707 + ... + 287441893.

It is an arithmetic number, because the mean of its divisors is an integer number (3309504587004).

Almost surely, 2^{212200112220100} is an apocalyptic number.

212200112220100 is a gapful number since it is divisible by the number (20) 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 212200112220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238284330264288).

212200112220100 is an abundant number, since it is smaller than the sum of its proper divisors (264368548308476).

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

212200112220100 is a wasteful number, since it uses less digits than its factorization.

212200112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740006 (or 739999 counting only the distinct ones).

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

Adding to 212200112220100 its reverse (1022211002212), we get a palindrome (213222323222312).

The spelling of 212200112220100 in words is "two hundred twelve trillion, two hundred billion, one hundred twelve million, two hundred twenty thousand, one hundred".