1001112221201 has 8 divisors (see below), whose sum is σ = 1002321355464. Its totient is φ = 999903421440.

The previous prime is 1001112221171. The next prime is 1001112221231. The reversal of 1001112221201 is 1021222111001.

It is an interprime number because it is at equal distance from previous prime (1001112221171) and next prime (1001112221231).

It can be written as a sum of positive squares in 4 ways, for example, as 377486131201 + 623626090000 = 614399^2 + 789700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001112221201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001112221231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6188021 + ... + 6347741.

It is an arithmetic number, because the mean of its divisors is an integer number (125290169433).

Almost surely, 2^{1001112221201} is an apocalyptic number.

It is an amenable number.

1001112221201 is a deficient number, since it is larger than the sum of its proper divisors (1209134263).

1001112221201 is an equidigital number, since it uses as much as digits as its factorization.

1001112221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167251.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001112221201 its reverse (1021222111001), we get a palindrome (2022334332202).

The spelling of 1001112221201 in words is "one trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred one".