2122021002000 has 320 divisors, whose sum is σ = 7082643110400. Its totient is φ = 545947494400.

The previous prime is 2122021001963. The next prime is 2122021002019. The reversal of 2122021002000 is 2001202212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279614206 + ... + 279621794.

It is an arithmetic number, because the mean of its divisors is an integer number (22133259720).

Almost surely, 2^{2122021002000} is an apocalyptic number.

2122021002000 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 2122021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541321555200).

2122021002000 is an abundant number, since it is smaller than the sum of its proper divisors (4960622108400).

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

2122021002000 is a wasteful number, since it uses less digits than its factorization.

2122021002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251 (or 9235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2122021002000 its reverse (2001202212), we get a palindrome (2124022204212).

The spelling of 2122021002000 in words is "two trillion, one hundred twenty-two billion, twenty-one million, two thousand".