2221212122100 has 108 divisors (see below), whose sum is σ = 6963164289900. Its totient is φ = 592246809600.

The previous prime is 2221212122071. The next prime is 2221212122117. The reversal of 2221212122100 is 12212121222.

It is a happy number.

2221212122100 is a `hidden beast` number, since 2 + 221 + 21 + 212 + 210 + 0 = 666.

2221212122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2047743504 + 2219164378596 = 45252^2 + 1489686^2 .

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, 6998860 + ... + 7309340.

It is an arithmetic number, because the mean of its divisors is an integer number (64473743425).

Almost surely, 2^{2221212122100} is an apocalyptic number.

2221212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221212122100 is an abundant number, since it is smaller than the sum of its proper divisors (4741952167800).

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

2221212122100 is a wasteful number, since it uses less digits than its factorization.

2221212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318450 (or 318440 counting only the distinct ones).

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

Adding to 2221212122100 its reverse (12212121222), we get a palindrome (2233424243322).

The spelling of 2221212122100 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".