2122211222100 has 54 divisors (see below), whose sum is σ = 6651953177870. Its totient is φ = 565922992320.

The previous prime is 2122211222071. The next prime is 2122211222111. The reversal of 2122211222100 is 12221122212.

It is a happy number.

2122211222100 is a `hidden beast` number, since 212 + 221 + 1 + 22 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25930016784 + 2096281205316 = 161028^2 + 1447854^2 .

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 17 ways as a sum of consecutive naturals, for example, 1179005335 + ... + 1179007134.

Almost surely, 2^{2122211222100} is an apocalyptic number.

2122211222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122211222100 is an abundant number, since it is smaller than the sum of its proper divisors (4529741955770).

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

2122211222100 is a wasteful number, since it uses less digits than its factorization.

2122211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358012489 (or 2358012479 counting only the distinct ones).

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

Adding to 2122211222100 its reverse (12221122212), we get a palindrome (2134432344312).

It can be divided in two parts, 21222112 and 22100, that added together give a palindrome (21244212).

The spelling of 2122211222100 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".