2111211210120 has 256 divisors, whose sum is σ = 6790379904000. Its totient is φ = 523568987136.

The previous prime is 2111211210077. The next prime is 2111211210127. The reversal of 2111211210120 is 210121121112.

It is a happy number.

It is a super-3 number, since 3×2111211210120³ (a number of 38 digits) contains 333 as substring.

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 2111211210120.

It is not an unprimeable number, because it can be changed into a prime (2111211210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29675151 + ... + 29746209.

It is an arithmetic number, because the mean of its divisors is an integer number (26524921500).

Almost surely, 2^{2111211210120} is an apocalyptic number.

2111211210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111211210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395189952000).

2111211210120 is an abundant number, since it is smaller than the sum of its proper divisors (4679168693880).

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

2111211210120 is a wasteful number, since it uses less digits than its factorization.

2111211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71332 (or 71328 counting only the distinct ones).

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

Adding to 2111211210120 its reverse (210121121112), we get a palindrome (2321332331232).

It can be divided in two parts, 211121 and 1210120, that added together give a palindrome (1421241).

The spelling of 2111211210120 in words is "two trillion, one hundred eleven billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".