212101111222002 has 256 divisors, whose sum is σ = 506159177072640. Its totient is φ = 65731520217600.

The previous prime is 212101111221997. The next prime is 212101111222009. The reversal of 212101111222002 is 200222111101212.

212101111222002 is a `hidden beast` number, since 21 + 210 + 111 + 122 + 200 + 2 = 666.

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 (212101111222009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 767657043 + ... + 767933289.

It is an arithmetic number, because the mean of its divisors is an integer number (1977184285440).

Almost surely, 2^{212101111222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101111222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253079588536320).

212101111222002 is an abundant number, since it is smaller than the sum of its proper divisors (294058065850638).

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

212101111222002 is a wasteful number, since it uses less digits than its factorization.

212101111222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276526 (or 276520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212101111222002 its reverse (200222111101212), we get a palindrome (412323222323214).

The spelling of 212101111222002 in words is "two hundred twelve trillion, one hundred one billion, one hundred eleven million, two hundred twenty-two thousand, two".