10022400422001 has 24 divisors (see below), whose sum is σ = 16479520065216. Its totient is φ = 5810087199840.

The previous prime is 10022400421973. The next prime is 10022400422003.

10022400422001 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 240 + 0 + 422 + 0 + 0 + 1 = 666.

10022400422001 is nontrivially palindromic in base 10.

10022400422001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022400422001 - 2¹¹ = 10022400419953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022400422003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200788330 + ... + 2200792883.

It is an arithmetic number, because the mean of its divisors is an integer number (686646669384).

Almost surely, 2^{10022400422001} is an apocalyptic number.

10022400422001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022400422001 is a deficient number, since it is larger than the sum of its proper divisors (6457119643215).

10022400422001 is a wasteful number, since it uses less digits than its factorization.

10022400422001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401581253 (or 4401581250 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 10022400 and 422001, that added together give a palindrome (10444401).

The spelling of 10022400422001 in words is "ten trillion, twenty-two billion, four hundred million, four hundred twenty-two thousand, one".