2001000010101 has 8 divisors (see below), whose sum is σ = 2668007139840. Its totient is φ = 1333996443552.

The previous prime is 2001000010067. The next prime is 2001000010103. The reversal of 2001000010101 is 1010100001002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2001000010101 - 2¹¹ = 2001000008053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001000010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000010103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982065 + ... + 2228553.

It is an arithmetic number, because the mean of its divisors is an integer number (333500892480).

Almost surely, 2^{2001000010101} is an apocalyptic number.

It is an amenable number.

2001000010101 is a deficient number, since it is larger than the sum of its proper divisors (667007129739).

2001000010101 is a wasteful number, since it uses less digits than its factorization.

2001000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781595.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2001000010101 its reverse (1010100001002), we get a palindrome (3011100011103).

Subtracting from 2001000010101 its reverse (1010100001002), we obtain a palindrome (990900009099).

The spelling of 2001000010101 in words is "two trillion, one billion, ten thousand, one hundred one".