2114111121400 has 48 divisors (see below), whose sum is σ = 4915407871440. Its totient is φ = 845627328000.

The previous prime is 2114111121373. The next prime is 2114111121407. The reversal of 2114111121400 is 41211114112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114111121407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15401872 + ... + 15538528.

It is an arithmetic number, because the mean of its divisors is an integer number (102404330655).

Almost surely, 2^{2114111121400} is an apocalyptic number.

2114111121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114111121400 is an abundant number, since it is smaller than the sum of its proper divisors (2801296750040).

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

2114111121400 is a wasteful number, since it uses less digits than its factorization.

2114111121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214024 (or 214015 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 2114111121400 its reverse (41211114112), we get a palindrome (2155322235512).

The spelling of 2114111121400 in words is "two trillion, one hundred fourteen billion, one hundred eleven million, one hundred twenty-one thousand, four hundred".