21211101102120 has 128 divisors (see below), whose sum is σ = 66947101482240. Its totient is φ = 5369191004160.

The previous prime is 21211101102119. The next prime is 21211101102131. The reversal of 21211101102120 is 2120110111212.

It is a happy number.

21211101102120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 21211101102120.

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, 58077412 + ... + 58441491.

It is an arithmetic number, because the mean of its divisors is an integer number (523024230330).

Almost surely, 2^{21211101102120} is an apocalyptic number.

21211101102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211101102120 is an abundant number, since it is smaller than the sum of its proper divisors (45736000380120).

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

21211101102120 is a wasteful number, since it uses less digits than its factorization.

21211101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116518995 (or 116518991 counting only the distinct ones).

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

Adding to 21211101102120 its reverse (2120110111212), we get a palindrome (23331211213332).

The spelling of 21211101102120 in words is "twenty-one trillion, two hundred eleven billion, one hundred one million, one hundred two thousand, one hundred twenty".