2001022100010 has 256 divisors, whose sum is σ = 5629200261120. Its totient is φ = 504828910080.

The previous prime is 2001022100003. The next prime is 2001022100047. The reversal of 2001022100010 is 100012201002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001022099965 and 2001022100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 240763755 + ... + 240772065.

It is an arithmetic number, because the mean of its divisors is an integer number (21989063520).

Almost surely, 2^{2001022100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001022100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814600130560).

2001022100010 is an abundant number, since it is smaller than the sum of its proper divisors (3628178161110).

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

2001022100010 is a wasteful number, since it uses less digits than its factorization.

2001022100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001022100010 its reverse (100012201002), we get a palindrome (2101034301012).

The spelling of 2001022100010 in words is "two trillion, one billion, twenty-two million, one hundred thousand, ten".