211120221021100 has 72 divisors (see below), whose sum is σ = 462585222095360. Its totient is φ = 83627034396480.

The previous prime is 211120221021023. The next prime is 211120221021103. The reversal of 211120221021100 is 1120122021112.

It is a super-2 number, since 2×211120221021100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211120221021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403845711 + ... + 1403996089.

Almost surely, 2^{211120221021100} is an apocalyptic number.

211120221021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120221021100 is an abundant number, since it is smaller than the sum of its proper divisors (251465001074260).

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

211120221021100 is a wasteful number, since it uses less digits than its factorization.

211120221021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286799 (or 286792 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211120221021100 its reverse (1120122021112), we get a palindrome (212240343042212).

It can be divided in two parts, 21112022 and 1021100, that added together give a palindrome (22133122).

The spelling of 211120221021100 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twenty-one million, twenty-one thousand, one hundred".