10220221110401 has 16 divisors (see below), whose sum is σ = 10740967579584. Its totient is φ = 9712362469824.

The previous prime is 10220221110293. The next prime is 10220221110493. The reversal of 10220221110401 is 10401112202201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220221110401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220221110401.

It is not an unprimeable number, because it can be changed into a prime (10220221410401) 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 15 ways as a sum of consecutive naturals, for example, 45730010 + ... + 45952956.

It is an arithmetic number, because the mean of its divisors is an integer number (671310473724).

Almost surely, 2^{10220221110401} is an apocalyptic number.

It is an amenable number.

10220221110401 is a deficient number, since it is larger than the sum of its proper divisors (520746469183).

10220221110401 is a wasteful number, since it uses less digits than its factorization.

10220221110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251840.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10220221110401 its reverse (10401112202201), we get a palindrome (20621333312602).

The spelling of 10220221110401 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, one hundred ten thousand, four hundred one".