212321022011100 has 216 divisors, whose sum is σ = 686218278000528. Its totient is φ = 54869218560000.

The previous prime is 212321022011071. The next prime is 212321022011113. The reversal of 212321022011100 is 1110220123212.

212321022011100 is a `hidden beast` number, since 2 + 12 + 321 + 0 + 220 + 1 + 110 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4342909 + ... + 21059508.

Almost surely, 2^{212321022011100} is an apocalyptic number.

212321022011100 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 212321022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343109139000264).

212321022011100 is an abundant number, since it is smaller than the sum of its proper divisors (473897255989428).

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

212321022011100 is a wasteful number, since it uses less digits than its factorization.

212321022011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25402725 (or 25402715 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212321022011100 its reverse (1110220123212), we get a palindrome (213431242134312).

The spelling of 212321022011100 in words is "two hundred twelve trillion, three hundred twenty-one billion, twenty-two million, eleven thousand, one hundred".