2111101211120 has 40 divisors (see below), whose sum is σ = 5354520346800. Its totient is φ = 767673167360.

The previous prime is 2111101211099. The next prime is 2111101211171. The reversal of 2111101211120 is 211121011112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2111101211095 and 2111101211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199488445 + ... + 1199490204.

It is an arithmetic number, because the mean of its divisors is an integer number (133863008670).

Almost surely, 2^{2111101211120} is an apocalyptic number.

2111101211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111101211120 is an abundant number, since it is smaller than the sum of its proper divisors (3243419135680).

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

2111101211120 is a wasteful number, since it uses less digits than its factorization.

2111101211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398978673 (or 2398978667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2111101211120 its reverse (211121011112), we get a palindrome (2322222222232).

The spelling of 2111101211120 in words is "two trillion, one hundred eleven billion, one hundred one million, two hundred eleven thousand, one hundred twenty".