20221002000 has 720 divisors, whose sum is σ = 77668636032. Its totient is φ = 5080838400.

The previous prime is 20221001981. The next prime is 20221002013. The reversal of 20221002000 is 20012202.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 301805967 + ... + 301806033.

Almost surely, 2^20221002000 is an apocalyptic number.

20221002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38834318016).

20221002000 is an abundant number, since it is smaller than the sum of its proper divisors (57447634032).

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

20221002000 is an frugal number, since it uses more digits than its factorization.

20221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

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

Adding to 20221002000 its reverse (20012202), we get a palindrome (20241014202).

The spelling of 20221002000 in words is "twenty billion, two hundred twenty-one million, two thousand".