201011000112 has 160 divisors (see below), whose sum is σ = 629871838400. Its totient is φ = 61002160128.

The previous prime is 201011000111. The next prime is 201011000129. The reversal of 201011000112 is 211000110102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201011000094 and 201011000103.

It is not an unprimeable number, because it can be changed into a prime (201011000111) 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, 164814 + ... + 655122.

It is an arithmetic number, because the mean of its divisors is an integer number (3936698990).

Almost surely, 2^201011000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314935919200).

201011000112 is an abundant number, since it is smaller than the sum of its proper divisors (428860838288).

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

201011000112 is a wasteful number, since it uses less digits than its factorization.

201011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490412 (or 490400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201011000112 its reverse (211000110102), we get a palindrome (412011110214).

The spelling of 201011000112 in words is "two hundred one billion, eleven million, one hundred twelve", and thus it is an aban number.