2001122021010 has 256 divisors, whose sum is σ = 5654931148800. Its totient is φ = 443776548864.

The previous prime is 2001122020999. The next prime is 2001122021057. The reversal of 2001122021010 is 101202211002.

It is a super-2 number, since 2×2001122021010² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753149602 + ... + 753152258.

It is an arithmetic number, because the mean of its divisors is an integer number (22089574800).

Almost surely, 2^{2001122021010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001122021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827465574400).

2001122021010 is an abundant number, since it is smaller than the sum of its proper divisors (3653809127790).

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

2001122021010 is a wasteful number, since it uses less digits than its factorization.

2001122021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001122021010 its reverse (101202211002), we get a palindrome (2102324232012).

The spelling of 2001122021010 in words is "two trillion, one billion, one hundred twenty-two million, twenty-one thousand, ten".