2001010102021 has 16 divisors (see below), whose sum is σ = 2407907525760. Its totient is φ = 1624423187520.

The previous prime is 2001010102001. The next prime is 2001010102123. The reversal of 2001010102021 is 1202010101002.

It is not a de Polignac number, because 2001010102021 - 2⁹ = 2001010101509 is a prime.

It is a super-3 number, since 3×2001010102021³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001010101989 and 2001010102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001010102001) 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 15 ways as a sum of consecutive naturals, for example, 1641790 + ... + 2587951.

It is an arithmetic number, because the mean of its divisors is an integer number (150494220360).

Almost surely, 2^{2001010102021} is an apocalyptic number.

It is an amenable number.

2001010102021 is a deficient number, since it is larger than the sum of its proper divisors (406897423739).

2001010102021 is a wasteful number, since it uses less digits than its factorization.

2001010102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233324.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001010102021 its reverse (1202010101002), we get a palindrome (3203020203023).

The spelling of 2001010102021 in words is "two trillion, one billion, ten million, one hundred two thousand, twenty-one".