2001021200101 has 24 divisors (see below), whose sum is σ = 2621243185920. Its totient is φ = 1508939308800.

The previous prime is 2001021200081. The next prime is 2001021200147. The reversal of 2001021200101 is 1010021201002.

It is not a de Polignac number, because 2001021200101 - 2²⁷ = 2000886982373 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 (2001021200161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59861836 + ... + 59895253.

It is an arithmetic number, because the mean of its divisors is an integer number (109218466080).

Almost surely, 2^{2001021200101} is an apocalyptic number.

It is an amenable number.

2001021200101 is a deficient number, since it is larger than the sum of its proper divisors (620221985819).

2001021200101 is a wasteful number, since it uses less digits than its factorization.

2001021200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119757145 (or 119757138 counting only the distinct ones).

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

Adding to 2001021200101 its reverse (1010021201002), we get a palindrome (3011042401103).

Subtracting from 2001021200101 its reverse (1010021201002), we obtain a palindrome (990999999099).

The spelling of 2001021200101 in words is "two trillion, one billion, twenty-one million, two hundred thousand, one hundred one".