212011121120202 has 96 divisors (see below), whose sum is σ = 496910549041920. Its totient is φ = 65101005590400.

The previous prime is 212011121120189. The next prime is 212011121120207. The reversal of 212011121120202 is 202021121110212.

212011121120202 is a `hidden beast` number, since 2 + 120 + 111 + 211 + 20 + 202 = 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 (212011121120207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15217327 + ... + 25604477.

It is an arithmetic number, because the mean of its divisors is an integer number (5176151552520).

Almost surely, 2^{212011121120202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011121120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248455274520960).

212011121120202 is an abundant number, since it is smaller than the sum of its proper divisors (284899427921718).

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

212011121120202 is a wasteful number, since it uses less digits than its factorization.

212011121120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388828 (or 10388825 counting only the distinct ones).

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

Adding to 212011121120202 its reverse (202021121110212), we get a palindrome (414032242230414).

The spelling of 212011121120202 in words is "two hundred twelve trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, two hundred two".