201010122000 has 480 divisors, whose sum is σ = 737909377920. Its totient is φ = 50933836800.

The previous prime is 201010121989. The next prime is 201010122007. The reversal of 201010122000 is 221010102.

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 (201010122007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28634491 + ... + 28641509.

It is an arithmetic number, because the mean of its divisors is an integer number (1537311204).

Almost surely, 2^201010122000 is an apocalyptic number.

201010122000 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 201010122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368954688960).

201010122000 is an abundant number, since it is smaller than the sum of its proper divisors (536899255920).

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

201010122000 is a wasteful number, since it uses less digits than its factorization.

201010122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201010122000 its reverse (221010102), we get a palindrome (201231132102).

The spelling of 201010122000 in words is "two hundred one billion, ten million, one hundred twenty-two thousand".