22002121101001 has 16 divisors (see below), whose sum is σ = 23295617991360. Its totient is φ = 20744510310720.

The previous prime is 22002121100989. The next prime is 22002121101011. The reversal of 22002121101001 is 10010112120022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22002121101001 is a prime.

It is a super-2 number, since 2×22002121101001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22002121101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3229186 + ... + 7377796.

It is an arithmetic number, because the mean of its divisors is an integer number (1455976124460).

Almost surely, 2^{22002121101001} is an apocalyptic number.

It is an amenable number.

22002121101001 is a deficient number, since it is larger than the sum of its proper divisors (1293496890359).

22002121101001 is a wasteful number, since it uses less digits than its factorization.

22002121101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152936.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22002121101001 its reverse (10010112120022), we get a palindrome (32012233221023).

The spelling of 22002121101001 in words is "twenty-two trillion, two billion, one hundred twenty-one million, one hundred one thousand, one".