10022433422001 has 128 divisors (see below), whose sum is σ = 18579500040192. Its totient is φ = 4676064940800.

The previous prime is 10022433421933. The next prime is 10022433422003.

It is a happy number.

10022433422001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10022433422001 - 2¹³ = 10022433413809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022433422003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13071696 + ... + 13817166.

It is an arithmetic number, because the mean of its divisors is an integer number (145152344064).

Almost surely, 2^{10022433422001} is an apocalyptic number.

10022433422001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022433422001 is a deficient number, since it is larger than the sum of its proper divisors (8557066618191).

10022433422001 is a wasteful number, since it uses less digits than its factorization.

10022433422001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745564 (or 745542 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1002243 and 3422001, that added together give a palindrome (4424244).

The spelling of 10022433422001 in words is "ten trillion, twenty-two billion, four hundred thirty-three million, four hundred twenty-two thousand, one".