1002412221201 has 20 divisors (see below), whose sum is σ = 1497671752500. Its totient is φ = 668167193376.

The previous prime is 1002412221157. The next prime is 1002412221211. The reversal of 1002412221201 is 1021222142001.

1002412221201 is a `hidden beast` number, since 1 + 0 + 0 + 241 + 2 + 221 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228293795601 + 774118425600 = 477801^2 + 879840^2 .

It is not a de Polignac number, because 1002412221201 - 2¹¹ = 1002412219153 is a prime.

It is a super-2 number, since 2×1002412221201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002412221211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 488826 + ... + 1497923.

It is an arithmetic number, because the mean of its divisors is an integer number (74883587625).

Almost surely, 2^{1002412221201} is an apocalyptic number.

It is an amenable number.

1002412221201 is a deficient number, since it is larger than the sum of its proper divisors (495259531299).

1002412221201 is an equidigital number, since it uses as much as digits as its factorization.

1002412221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992990 (or 1992981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1002412221201 its reverse (1021222142001), we get a palindrome (2023634363202).

The spelling of 1002412221201 in words is "one trillion, two billion, four hundred twelve million, two hundred twenty-one thousand, two hundred one".