1012221102001 has 16 divisors (see below), whose sum is σ = 1048748979600. Its totient is φ = 976261017600.

The previous prime is 1012221101981. The next prime is 1012221102019. The reversal of 1012221102001 is 1002011222101.

It can be written as a sum of positive squares in 8 ways, for example, as 569004696976 + 443216405025 = 754324^2 + 665745^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012221102001 - 2⁷ = 1012221101873 is a prime.

It is a super-2 number, since 2×1012221102001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012221202001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23189485 + ... + 23233093.

It is an arithmetic number, because the mean of its divisors is an integer number (65546811225).

Almost surely, 2^{1012221102001} is an apocalyptic number.

It is an amenable number.

1012221102001 is a deficient number, since it is larger than the sum of its proper divisors (36527877599).

1012221102001 is an equidigital number, since it uses as much as digits as its factorization.

1012221102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50100.

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

Adding to 1012221102001 its reverse (1002011222101), we get a palindrome (2014232324102).

The spelling of 1012221102001 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred two thousand, one".