2111420104200 has 768 divisors, whose sum is σ = 8690309856000. Its totient is φ = 465131520000.

The previous prime is 2111420104127. The next prime is 2111420104249. The reversal of 2111420104200 is 24010241112.

2111420104200 is a `hidden beast` number, since 21 + 11 + 420 + 10 + 4 + 200 = 666.

It is a super-3 number, since 3×2111420104200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 29248150 + ... + 29320250.

It is an arithmetic number, because the mean of its divisors is an integer number (11315507625).

Almost surely, 2^{2111420104200} is an apocalyptic number.

2111420104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111420104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345154928000).

2111420104200 is an abundant number, since it is smaller than the sum of its proper divisors (6578889751800).

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

2111420104200 is a wasteful number, since it uses less digits than its factorization.

2111420104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72183 (or 72168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2111420104200 its reverse (24010241112), we get a palindrome (2135430345312).

The spelling of 2111420104200 in words is "two trillion, one hundred eleven billion, four hundred twenty million, one hundred four thousand, two hundred".