2112131023400 has 24 divisors (see below), whose sum is σ = 4910704629870. Its totient is φ = 844852409280.

The previous prime is 2112131023397. The next prime is 2112131023439. The reversal of 2112131023400 is 43201312112.

It can be written as a sum of positive squares in 3 ways, for example, as 1459877728516 + 652253294884 = 1208254^2 + 807622^2 .

It is a super-2 number, since 2×2112131023400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 5280327359 + ... + 5280327758.

Almost surely, 2^{2112131023400} is an apocalyptic number.

2112131023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112131023400 is an abundant number, since it is smaller than the sum of its proper divisors (2798573606470).

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

2112131023400 is a wasteful number, since it uses less digits than its factorization.

2112131023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560655133 (or 10560655124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2112131023400 its reverse (43201312112), we get a palindrome (2155332335512).

The spelling of 2112131023400 in words is "two trillion, one hundred twelve billion, one hundred thirty-one million, twenty-three thousand, four hundred".