10201111000 has 64 divisors (see below), whose sum is σ = 23948084160. Its totient is φ = 4067200000.

The previous prime is 10201110991. The next prime is 10201111027. The reversal of 10201111000 is 11110201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294600 + ... + 327400.

It is an arithmetic number, because the mean of its divisors is an integer number (374188815).

Almost surely, 2^10201111000 is an apocalyptic number.

10201111000 is a gapful number since it is divisible by the number (10) 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 10201111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974042080).

10201111000 is an abundant number, since it is smaller than the sum of its proper divisors (13746973160).

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

10201111000 is a wasteful number, since it uses less digits than its factorization.

10201111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33133 (or 33119 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10201111000 its reverse (11110201), we get a palindrome (10212221201).

The spelling of 10201111000 in words is "ten billion, two hundred one million, one hundred eleven thousand".