201021022000 has 160 divisors (see below), whose sum is σ = 521916130944. Its totient is φ = 74611712000.

The previous prime is 201021021977. The next prime is 201021022009. The reversal of 201021022000 is 220120102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201021022009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372364 + ... + 2455636.

Almost surely, 2^201021022000 is an apocalyptic number.

201021022000 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 201021022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260958065472).

201021022000 is an abundant number, since it is smaller than the sum of its proper divisors (320895108944).

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

201021022000 is a wasteful number, since it uses less digits than its factorization.

201021022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83384 (or 83368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201021022000 its reverse (220120102), we get a palindrome (201241142102).

The spelling of 201021022000 in words is "two hundred one billion, twenty-one million, twenty-two thousand".