2001021110101 has 8 divisors (see below), whose sum is σ = 2156093916984. Its totient is φ = 1846112318400.

The previous prime is 2001021110093. The next prime is 2001021110131. The reversal of 2001021110101 is 1010111201002.

It can be written as a sum of positive squares in 4 ways, for example, as 336688902001 + 1664332208100 = 580249^2 + 1290090^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2001021110101 - 2³ = 2001021110093 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 (2001021110131) 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, 40978450 + ... + 41027251.

It is an arithmetic number, because the mean of its divisors is an integer number (269511739623).

Almost surely, 2^{2001021110101} is an apocalyptic number.

It is an amenable number.

2001021110101 is a deficient number, since it is larger than the sum of its proper divisors (155072806883).

2001021110101 is a wasteful number, since it uses less digits than its factorization.

2001021110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82007591.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2001021110101 its reverse (1010111201002), we get a palindrome (3011132311103).

Subtracting from 2001021110101 its reverse (1010111201002), we obtain a palindrome (990909909099).

The spelling of 2001021110101 in words is "two trillion, one billion, twenty-one million, one hundred ten thousand, one hundred one".