2001011012221 has 8 divisors (see below), whose sum is σ = 2156378316120. Its totient is φ = 1845849905472.

The previous prime is 2001011012191. The next prime is 2001011012251. The reversal of 2001011012221 is 1222101101002.

It is an interprime number because it is at equal distance from previous prime (2001011012191) and next prime (2001011012251).

It can be written as a sum of positive squares in 4 ways, for example, as 525065448996 + 1475945563225 = 724614^2 + 1214885^2 .

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 2001011012221 - 2²⁵ = 2000977457789 is a prime.

It is a super-2 number, since 2×2001011012221² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001011012251) 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, 51529126 + ... + 51567943.

It is an arithmetic number, because the mean of its divisors is an integer number (269547289515).

Almost surely, 2^{2001011012221} is an apocalyptic number.

It is an amenable number.

2001011012221 is a deficient number, since it is larger than the sum of its proper divisors (155367303899).

2001011012221 is a wasteful number, since it uses less digits than its factorization.

2001011012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103098575.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001011012221 its reverse (1222101101002), we get a palindrome (3223112113223).

The spelling of 2001011012221 in words is "two trillion, one billion, eleven million, twelve thousand, two hundred twenty-one".