10110221221001 has 12 divisors (see below), whose sum is σ = 11766587072436. Its totient is φ = 8650456657920.

The previous prime is 10110221220997. The next prime is 10110221221057. The reversal of 10110221221001 is 10012212201101.

It can be written as a sum of positive squares in 2 ways, for example, as 8502612773776 + 1607608447225 = 2915924^2 + 1267915^2 .

It is not a de Polignac number, because 10110221221001 - 2² = 10110221220997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110221221091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457514040 + ... + 2457518153.

It is an arithmetic number, because the mean of its divisors is an integer number (980548922703).

Almost surely, 2^{10110221221001} is an apocalyptic number.

10110221221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110221221001 is a deficient number, since it is larger than the sum of its proper divisors (1656365851435).

10110221221001 is a wasteful number, since it uses less digits than its factorization.

10110221221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915032232 (or 4915032221 counting only the distinct ones).

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

Adding to 10110221221001 its reverse (10012212201101), we get a palindrome (20122433422102).

The spelling of 10110221221001 in words is "ten trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one".