21211011201120 has 192 divisors, whose sum is σ = 72356259467520. Its totient is φ = 5192003155968.

The previous prime is 21211011201071. The next prime is 21211011201169. The reversal of 21211011201120 is 2110211011212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21211011201071) and next prime (21211011201169).

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 21211011201120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8378014 + ... + 10611933.

It is an arithmetic number, because the mean of its divisors is an integer number (376855518060).

Almost surely, 2^{21211011201120} is an apocalyptic number.

21211011201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211011201120 is an abundant number, since it is smaller than the sum of its proper divisors (51145248266400).

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

21211011201120 is a wasteful number, since it uses less digits than its factorization.

21211011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990157 (or 18990149 counting only the distinct ones).

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

Adding to 21211011201120 its reverse (2110211011212), we get a palindrome (23321222212332).

The spelling of 21211011201120 in words is "twenty-one trillion, two hundred eleven billion, eleven million, two hundred one thousand, one hundred twenty".