2000122001101 has 12 divisors (see below), whose sum is σ = 2336658264252. Its totient is φ = 1707032378688.

The previous prime is 2000122001089. The next prime is 2000122001107. The reversal of 2000122001101 is 1011002210002.

It can be written as a sum of positive squares in 2 ways, for example, as 250626391876 + 1749495609225 = 500626^2 + 1322685^2 .

It is not a de Polignac number, because 2000122001101 - 2¹⁷ = 2000121870029 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 (2000122001107) 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 11 ways as a sum of consecutive naturals, for example, 87582610 + ... + 87605443.

It is an arithmetic number, because the mean of its divisors is an integer number (194721522021).

Almost surely, 2^{2000122001101} is an apocalyptic number.

It is an amenable number.

2000122001101 is a deficient number, since it is larger than the sum of its proper divisors (336536263151).

2000122001101 is a wasteful number, since it uses less digits than its factorization.

2000122001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175188300 (or 175188293 counting only the distinct ones).

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

Adding to 2000122001101 its reverse (1011002210002), we get a palindrome (3011124211103).

The spelling of 2000122001101 in words is "two trillion, one hundred twenty-two million, one thousand, one hundred one".