201020100222000 has 640 divisors, whose sum is σ = 676866796609536. Its totient is φ = 51267648000000.

The previous prime is 201020100221951. The next prime is 201020100222041. The reversal of 201020100222000 is 222001020102.

201020100222000 is digitally balanced in base 2, 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10463792395 + ... + 10463811605.

Almost surely, 2^{201020100222000} is an apocalyptic number.

201020100222000 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 201020100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338433398304768).

201020100222000 is an abundant number, since it is smaller than the sum of its proper divisors (475846696387536).

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

201020100222000 is a wasteful number, since it uses less digits than its factorization.

201020100222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19926 (or 19910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201020100222000 its reverse (222001020102), we get a palindrome (201242101242102).

The spelling of 201020100222000 in words is "two hundred one trillion, twenty billion, one hundred million, two hundred twenty-two thousand".