2111021110120 has 64 divisors (see below), whose sum is σ = 5416058707920. Its totient is φ = 733603713024.

The previous prime is 2111021110111. The next prime is 2111021110129. The reversal of 2111021110120 is 210111201112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2111021110111) and next prime (2111021110129).

It can be written as a sum of positive squares in 8 ways, for example, as 1109352414564 + 1001668695556 = 1053258^2 + 1000834^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2111021110120.

It is not an unprimeable number, because it can be changed into a prime (2111021110129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119392807 + ... + 119410486.

Almost surely, 2^{2111021110120} is an apocalyptic number.

2111021110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111021110120 is an abundant number, since it is smaller than the sum of its proper divisors (3305037597800).

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

2111021110120 is a wasteful number, since it uses less digits than its factorization.

2111021110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238803334 (or 238803330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2111021110120 its reverse (210111201112), we get a palindrome (2321132311232).

The spelling of 2111021110120 in words is "two trillion, one hundred eleven billion, twenty-one million, one hundred ten thousand, one hundred twenty".