211120021101120 has 56 divisors (see below), whose sum is σ = 670306066999104. Its totient is φ = 56298672293376.

The previous prime is 211120021101049. The next prime is 211120021101127. The reversal of 211120021101120 is 21101120021112.

It is a happy number.

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 211120021101120.

It is not an unprimeable number, because it can be changed into a prime (211120021101127) 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 7 ways as a sum of consecutive naturals, for example, 109958343364 + ... + 109958345283.

Almost surely, 2^{211120021101120} is an apocalyptic number.

211120021101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120021101120 is an abundant number, since it is smaller than the sum of its proper divisors (459186045897984).

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

211120021101120 is a wasteful number, since it uses less digits than its factorization.

211120021101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219916688667 (or 219916688657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211120021101120 its reverse (21101120021112), we get a palindrome (232221141122232).

The spelling of 211120021101120 in words is "two hundred eleven trillion, one hundred twenty billion, twenty-one million, one hundred one thousand, one hundred twenty".