211020121021200 has 120 divisors (see below), whose sum is σ = 676537268048928. Its totient is φ = 56224624957440.

The previous prime is 211020121021169. The next prime is 211020121021243. The reversal of 211020121021200 is 2120121020112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211020121021200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72648937 + ... + 75497736.

Almost surely, 2^{211020121021200} is an apocalyptic number.

211020121021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020121021200 is an abundant number, since it is smaller than the sum of its proper divisors (465517147027728).

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

211020121021200 is a wasteful number, since it uses less digits than its factorization.

211020121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148147881 (or 148147870 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211020121021200 its reverse (2120121020112), we get a palindrome (213140242041312).

The spelling of 211020121021200 in words is "two hundred eleven trillion, twenty billion, one hundred twenty-one million, twenty-one thousand, two hundred".