2001021010101 has 32 divisors (see below), whose sum is σ = 2971603440000. Its totient is φ = 1330807532544.

The previous prime is 2001021010099. The next prime is 2001021010103. The reversal of 2001021010101 is 1010101201002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001021010099) and next prime (2001021010103).

It is not a de Polignac number, because 2001021010101 - 2¹ = 2001021010099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001021010103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 92960526 + ... + 92982048.

It is an arithmetic number, because the mean of its divisors is an integer number (92862607500).

Almost surely, 2^{2001021010101} is an apocalyptic number.

It is an amenable number.

2001021010101 is a deficient number, since it is larger than the sum of its proper divisors (970582429899).

2001021010101 is a wasteful number, since it uses less digits than its factorization.

2001021010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29650 (or 29644 counting only the distinct ones).

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

Adding to 2001021010101 its reverse (1010101201002), we get a palindrome (3011122211103).

The spelling of 2001021010101 in words is "two trillion, one billion, twenty-one million, ten thousand, one hundred one".