2121331201000 has 256 divisors, whose sum is σ = 5554122462720. Its totient is φ = 751795200000.

The previous prime is 2121331200983. The next prime is 2121331201009. The reversal of 2121331201000 is 1021331212.

It is a super-2 number, since 2×2121331201000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121331201009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 88020952 + ... + 88045048.

It is an arithmetic number, because the mean of its divisors is an integer number (21695790870).

Almost surely, 2^{2121331201000} is an apocalyptic number.

2121331201000 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 2121331201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777061231360).

2121331201000 is an abundant number, since it is smaller than the sum of its proper divisors (3432791261720).

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

2121331201000 is a wasteful number, since it uses less digits than its factorization.

2121331201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24333 (or 24319 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2121331201000 its reverse (1021331212), we get a palindrome (2122352532212).

It can be divided in two parts, 21213 and 31201000, that added together give a palindrome (31222213).

The spelling of 2121331201000 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-one million, two hundred one thousand".