2121331301100 has 216 divisors, whose sum is σ = 7569045050112. Its totient is φ = 491902857600.

The previous prime is 2121331301087. The next prime is 2121331301107. The reversal of 2121331301100 is 11031331212.

2121331301100 is a `hidden beast` number, since 2 + 1 + 21 + 331 + 301 + 10 + 0 = 666.

It is a super-2 number, since 2×2121331301100² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2121331301107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4430472 + ... + 4885871.

It is an arithmetic number, because the mean of its divisors is an integer number (35041875232).

Almost surely, 2^{2121331301100} is an apocalyptic number.

2121331301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121331301100 is an abundant number, since it is smaller than the sum of its proper divisors (5447713749012).

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

2121331301100 is a wasteful number, since it uses less digits than its factorization.

2121331301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316397 (or 9316387 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2121331301100 its reverse (11031331212), we get a palindrome (2132362632312).

It can be divided in two parts, 21213 and 31301100, that added together give a palindrome (31322313).

The spelling of 2121331301100 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred one thousand, one hundred".