2111103201120 has 96 divisors (see below), whose sum is σ = 6677568707040. Its totient is φ = 560624885760.

The previous prime is 2111103201107. The next prime is 2111103201133. The reversal of 2111103201120 is 211023011112.

It is an interprime number because it is at equal distance from previous prime (2111103201107) and next prime (2111103201133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2111103201120² (a number of 25 digits) contains 22 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 2111103201120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9009075 + ... + 9240434.

It is an arithmetic number, because the mean of its divisors is an integer number (69558007365).

Almost surely, 2^{2111103201120} is an apocalyptic number.

2111103201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111103201120 is an abundant number, since it is smaller than the sum of its proper divisors (4566465505920).

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

2111103201120 is a wasteful number, since it uses less digits than its factorization.

2111103201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249768 (or 18249760 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2111103201120 its reverse (211023011112), we get a palindrome (2322126212232).

The spelling of 2111103201120 in words is "two trillion, one hundred eleven billion, one hundred three million, two hundred one thousand, one hundred twenty".