1001022261121 has 27 divisors (see below), whose sum is σ = 1033134955209. Its totient is φ = 969903367488.

The previous prime is 1001022261101. The next prime is 1001022261149. The reversal of 1001022261121 is 1211622201001.

The square root of 1001022261121 is 1000511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 82039280625 + 918982980496 = 286425^2 + 958636^2 .

It is not a de Polignac number, because 1001022261121 - 2⁷ = 1001022260993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001022261101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7306731765 + ... + 7306731901.

Almost surely, 2^{1001022261121} is an apocalyptic number.

1001022261121 is the 1000511-st square number.

1001022261121 is the 500256-th centered octagonal number.

It is an amenable number.

1001022261121 is a deficient number, since it is larger than the sum of its proper divisors (32112694088).

1001022261121 is an frugal number, since it uses more digits than its factorization.

1001022261121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1001022261121 its reverse (1211622201001), we get a palindrome (2212644462122).

The spelling of 1001022261121 in words is "one trillion, one billion, twenty-two million, two hundred sixty-one thousand, one hundred twenty-one".