2121311401000 has 256 divisors, whose sum is σ = 5612560761600. Its totient is φ = 743363712000.

The previous prime is 2121311400977. The next prime is 2121311401003. The reversal of 2121311401000 is 1041131212.

It is not an unprimeable number, because it can be changed into a prime (2121311401003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174486922 + ... + 174499078.

It is an arithmetic number, because the mean of its divisors is an integer number (21924065475).

Almost surely, 2^{2121311401000} is an apocalyptic number.

2121311401000 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 2121311401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806280380800).

2121311401000 is an abundant number, since it is smaller than the sum of its proper divisors (3491249360600).

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

2121311401000 is a wasteful number, since it uses less digits than its factorization.

2121311401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12765 (or 12751 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2121311401000 its reverse (1041131212), we get a palindrome (2122352532212).

The spelling of 2121311401000 in words is "two trillion, one hundred twenty-one billion, three hundred eleven million, four hundred one thousand".