2001101001521 has 2 divisors, whose sum is σ = 2001101001522. Its totient is φ = 2001101001520.

The previous prime is 2001101001469. The next prime is 2001101001547. The reversal of 2001101001521 is 1251001011002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1803219265600 + 197881735921 = 1342840^2 + 444839^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101001521 - 2¹⁰ = 2001101000497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001101001496 and 2001101001505.

It is not a weakly prime, because it can be changed into another prime (2001101009521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550500760 + 1000550500761.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550500761).

Almost surely, 2^{2001101001521} is an apocalyptic number.

It is an amenable number.

2001101001521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001101001521 is an equidigital number, since it uses as much as digits as its factorization.

2001101001521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 2001101001521 its reverse (1251001011002), we get a palindrome (3252102012523).

The spelling of 2001101001521 in words is "two trillion, one billion, one hundred one million, one thousand, five hundred twenty-one".