10221122022001 has 16 divisors (see below), whose sum is σ = 11190126286080. Its totient is φ = 9258755400720.

The previous prime is 10221122021987. The next prime is 10221122022017. The reversal of 10221122022001 is 10022022112201.

It is a happy number.

10221122022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10221122022001 - 2¹⁷ = 10221121890929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221122022091) 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, 129271386 + ... + 129350428.

It is an arithmetic number, because the mean of its divisors is an integer number (699382892880).

Almost surely, 2^{10221122022001} is an apocalyptic number.

10221122022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221122022001 is a deficient number, since it is larger than the sum of its proper divisors (969004264079).

10221122022001 is a wasteful number, since it uses less digits than its factorization.

10221122022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120876.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221122022001 its reverse (10022022112201), we get a palindrome (20243144134202).

The spelling of 10221122022001 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-two thousand, one".