2001021011010 has 72 divisors (see below), whose sum is σ = 6052067642556. Its totient is φ = 457376230080.

The previous prime is 2001021010949. The next prime is 2001021011047. The reversal of 2001021011010 is 101101201002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1761627071169 + 239393939841 = 1327263^2 + 489279^2 .

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 = 2001021010983 and 2001021011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226868721 + ... + 226877540.

Almost surely, 2^{2001021011010} is an apocalyptic number.

2001021011010 is an abundant number, since it is smaller than the sum of its proper divisors (4051046631546).

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

2001021011010 is a wasteful number, since it uses less digits than its factorization.

2001021011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453746288 (or 453746278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001021011010 its reverse (101101201002), we get a palindrome (2102122212012).

The spelling of 2001021011010 in words is "two trillion, one billion, twenty-one million, eleven thousand, ten".