201010222000 has 160 divisors (see below), whose sum is σ = 556819361280. Its totient is φ = 68751302400.

The previous prime is 201010221991. The next prime is 201010222003. The reversal of 201010222000 is 222010102.

201010222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (201010222003) 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, 5848867 + ... + 5883133.

It is an arithmetic number, because the mean of its divisors is an integer number (3480121008).

Almost surely, 2^201010222000 is an apocalyptic number.

201010222000 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 201010222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278409680640).

201010222000 is an abundant number, since it is smaller than the sum of its proper divisors (355809139280).

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

201010222000 is a wasteful number, since it uses less digits than its factorization.

201010222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34716 (or 34700 counting only the distinct ones).

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

Adding to 201010222000 its reverse (222010102), we get a palindrome (201232232102).

The spelling of 201010222000 in words is "two hundred one billion, ten million, two hundred twenty-two thousand".