2001012020101 has 4 divisors (see below), whose sum is σ = 2001016126732. Its totient is φ = 2001007913472.

The previous prime is 2001012020081. The next prime is 2001012020129. The reversal of 2001012020101 is 1010202101002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 805597797601 + 1195414222500 = 897551^2 + 1093350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001012020101 - 2¹⁵ = 2001011987333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001012020801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1205820 + ... + 2335813.

It is an arithmetic number, because the mean of its divisors is an integer number (500254031683).

Almost surely, 2^{2001012020101} is an apocalyptic number.

It is an amenable number.

2001012020101 is a deficient number, since it is larger than the sum of its proper divisors (4106631).

2001012020101 is an equidigital number, since it uses as much as digits as its factorization.

2001012020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106630.

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

Adding to 2001012020101 its reverse (1010202101002), we get a palindrome (3011214121103).

The spelling of 2001012020101 in words is "two trillion, one billion, twelve million, twenty thousand, one hundred one".