212202022200100 has 72 divisors (see below), whose sum is σ = 461292768373248. Its totient is φ = 84730794028800.

The previous prime is 212202022200097. The next prime is 212202022200101. The reversal of 212202022200100 is 1002220202212.

It is not an unprimeable number, because it can be changed into a prime (212202022200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167320969 + ... + 168584431.

It is an arithmetic number, because the mean of its divisors is an integer number (6406844005184).

Almost surely, 2^{212202022200100} is an apocalyptic number.

212202022200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202022200100 is an abundant number, since it is smaller than the sum of its proper divisors (249090746173148).

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

212202022200100 is a wasteful number, since it uses less digits than its factorization.

212202022200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266445 (or 1266438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212202022200100 its reverse (1002220202212), we get a palindrome (213204242402312).

The spelling of 212202022200100 in words is "two hundred twelve trillion, two hundred two billion, twenty-two million, two hundred thousand, one hundred".