201000112201000 has 512 divisors, whose sum is σ = 554315503472640. Its totient is φ = 66786508800000.

The previous prime is 201000112200977. The next prime is 201000112201033. The reversal of 201000112201000 is 102211000102.

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

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, 27455277340 + ... + 27455284660.

It is an arithmetic number, because the mean of its divisors is an integer number (1082647467720).

Almost surely, 2^{201000112201000} is an apocalyptic number.

201000112201000 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 201000112201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277157751736320).

201000112201000 is an abundant number, since it is smaller than the sum of its proper divisors (353315391271640).

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

201000112201000 is a wasteful number, since it uses less digits than its factorization.

201000112201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201000112201000 its reverse (102211000102), we get a palindrome (201102323201102).

The spelling of 201000112201000 in words is "two hundred one trillion, one hundred twelve million, two hundred one thousand".