10220122032001 has 64 divisors (see below), whose sum is σ = 12754033459200. Its totient is φ = 7991811993600.

The previous prime is 10220122031989. The next prime is 10220122032013. The reversal of 10220122032001 is 10023022102201.

It is a happy number.

10220122032001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10220122031989) and next prime (10220122032013).

It is a cyclic number.

It is not a de Polignac number, because 10220122032001 - 2³⁵ = 10185762293633 is a prime.

It is a super-3 number, since 3×10220122032001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220122032041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608704841 + ... + 1608711193.

It is an arithmetic number, because the mean of its divisors is an integer number (199281772800).

Almost surely, 2^{10220122032001} is an apocalyptic number.

It is an amenable number.

10220122032001 is a deficient number, since it is larger than the sum of its proper divisors (2533911427199).

10220122032001 is a wasteful number, since it uses less digits than its factorization.

10220122032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10220122032001 its reverse (10023022102201), we get a palindrome (20243144134202).

The spelling of 10220122032001 in words is "ten trillion, two hundred twenty billion, one hundred twenty-two million, thirty-two thousand, one".