22001020002 has 24 divisors (see below), whose sum is σ = 51335713884. Its totient is φ = 6769544544.

The previous prime is 22001019979. The next prime is 22001020009. The reversal of 22001020002 is 20002010022.

It can be written as a sum of positive squares in 2 ways, for example, as 21146685561 + 854334441 = 145419^2 + 29229^2 .

It is a super-3 number, since 3×22001020002³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22001020009) 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 11 ways as a sum of consecutive naturals, for example, 47010493 + ... + 47010960.

Almost surely, 2^22001020002 is an apocalyptic number.

22001020002 is an abundant number, since it is smaller than the sum of its proper divisors (29334693882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22001020002 is a wasteful number, since it uses less digits than its factorization.

22001020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94021474 (or 94021471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22001020002 its reverse (20002010022), we get a palindrome (42003030024).

The spelling of 22001020002 in words is "twenty-two billion, one million, twenty thousand, two".