21211001211120 has 160 divisors (see below), whose sum is σ = 77571661762560. Its totient is φ = 4691834357760.

The previous prime is 21211001211083. The next prime is 21211001211133. The reversal of 21211001211120 is 2111210011212.

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 21211001211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203586565 + ... + 203690724.

It is an arithmetic number, because the mean of its divisors is an integer number (484822886016).

Almost surely, 2^{21211001211120} is an apocalyptic number.

21211001211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211001211120 is an abundant number, since it is smaller than the sum of its proper divisors (56360660551440).

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

21211001211120 is a wasteful number, since it uses less digits than its factorization.

21211001211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407277343 (or 407277337 counting only the distinct ones).

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

Adding to 21211001211120 its reverse (2111210011212), we get a palindrome (23322211222332).

The spelling of 21211001211120 in words is "twenty-one trillion, two hundred eleven billion, one million, two hundred eleven thousand, one hundred twenty".