212021102212200 has 72 divisors (see below), whose sum is σ = 712037534935350. Its totient is φ = 56538960589440.

The previous prime is 212021102212169. The next prime is 212021102212201. The reversal of 212021102212200 is 2212201120212.

It is a happy number.

212021102212200 is a `hidden beast` number, since 2 + 12 + 0 + 211 + 0 + 221 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 197708515104996 + 14312587107204 = 14060886^2 + 3783198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (212021102212201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58894748815 + ... + 58894752414.

Almost surely, 2^{212021102212200} is an apocalyptic number.

212021102212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021102212200 is an abundant number, since it is smaller than the sum of its proper divisors (500016432723150).

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

212021102212200 is a wasteful number, since it uses less digits than its factorization.

212021102212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117789501251 (or 117789501239 counting only the distinct ones).

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

Adding to 212021102212200 its reverse (2212201120212), we get a palindrome (214233303332412).

The spelling of 212021102212200 in words is "two hundred twelve trillion, twenty-one billion, one hundred two million, two hundred twelve thousand, two hundred".