2001010001221 has 32 divisors (see below), whose sum is σ = 2555851334400. Its totient is φ = 1521057139200.

The previous prime is 2001010001209. The next prime is 2001010001233. The reversal of 2001010001221 is 1221000101002.

It is an interprime number because it is at equal distance from previous prime (2001010001209) and next prime (2001010001233).

It is a cyclic number.

It is not a de Polignac number, because 2001010001221 - 2⁵ = 2001010001189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001010001198 and 2001010001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001010001521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44645995 + ... + 44690791.

It is an arithmetic number, because the mean of its divisors is an integer number (79870354200).

Almost surely, 2^{2001010001221} is an apocalyptic number.

It is an amenable number.

2001010001221 is a deficient number, since it is larger than the sum of its proper divisors (554841333179).

2001010001221 is a wasteful number, since it uses less digits than its factorization.

2001010001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59005.

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

Adding to 2001010001221 its reverse (1221000101002), we get a palindrome (3222010102223).

The spelling of 2001010001221 in words is "two trillion, one billion, ten million, one thousand, two hundred twenty-one".