22102003133001 has 96 divisors (see below), whose sum is σ = 38151248054400. Its totient is φ = 12171326576640.

The previous prime is 22102003132931. The next prime is 22102003133009. The reversal of 22102003133001 is 10033130020122.

22102003133001 is a `hidden beast` number, since 22 + 10 + 20 + 0 + 313 + 300 + 1 = 666.

It is not a de Polignac number, because 22102003133001 - 2²³ = 22101994744393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22102003133009) 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 95 ways as a sum of consecutive naturals, for example, 986817535 + ... + 986839931.

It is an arithmetic number, because the mean of its divisors is an integer number (397408833900).

Almost surely, 2^{22102003133001} is an apocalyptic number.

It is an amenable number.

22102003133001 is a deficient number, since it is larger than the sum of its proper divisors (16049244921399).

22102003133001 is a wasteful number, since it uses less digits than its factorization.

22102003133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42679 (or 42676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22102003133001 its reverse (10033130020122), we get a palindrome (32135133153123).

The spelling of 22102003133001 in words is "twenty-two trillion, one hundred two billion, three million, one hundred thirty-three thousand, one".