2111000121120 has 96 divisors (see below), whose sum is σ = 7254164070720. Its totient is φ = 511757603840.

The previous prime is 2111000121101. The next prime is 2111000121137. The reversal of 2111000121120 is 211210001112.

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

It is a super-2 number, since 2×2111000121120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2111000121096 and 2111000121105.

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 15 ways as a sum of consecutive naturals, for example, 199900035 + ... + 199910594.

It is an arithmetic number, because the mean of its divisors is an integer number (75564209070).

Almost surely, 2^{2111000121120} is an apocalyptic number.

2111000121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111000121120 is an abundant number, since it is smaller than the sum of its proper divisors (5143163949600).

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

2111000121120 is a wasteful number, since it uses less digits than its factorization.

2111000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399810658 (or 399810650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111000121120 its reverse (211210001112), we get a palindrome (2322210122232).

The spelling of 2111000121120 in words is "two trillion, one hundred eleven billion, one hundred twenty-one thousand, one hundred twenty".