2121123311300 has 144 divisors (see below), whose sum is σ = 5470966419072. Its totient is φ = 698684313600.

The previous prime is 2121123311299. The next prime is 2121123311303. The reversal of 2121123311300 is 31133211212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2121123311303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258484 + ... + 2413716.

Almost surely, 2^{2121123311300} is an apocalyptic number.

2121123311300 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 2121123311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735483209536).

2121123311300 is an abundant number, since it is smaller than the sum of its proper divisors (3349843107772).

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

2121123311300 is a wasteful number, since it uses less digits than its factorization.

2121123311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155358 (or 1155351 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2121123311300 its reverse (31133211212), we get a palindrome (2152256522512).

The spelling of 2121123311300 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-three million, three hundred eleven thousand, three hundred".