10201113000 has 256 divisors, whose sum is σ = 38085465600. Its totient is φ = 2510956800.

The previous prime is 10201112989. The next prime is 10201113001. The reversal of 10201113000 is 31110201.

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 (10201113001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336469 + ... + 365531.

It is an arithmetic number, because the mean of its divisors is an integer number (148771350).

Almost surely, 2^10201113000 is an apocalyptic number.

10201113000 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 10201113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042732800).

10201113000 is an abundant number, since it is smaller than the sum of its proper divisors (27884352600).

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

10201113000 is a wasteful number, since it uses less digits than its factorization.

10201113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29106 (or 29086 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10201113000 its reverse (31110201), we get a palindrome (10232223201).

It can be divided in two parts, 10201 and 113000, that added together give a square (123201 = 351²).

The spelling of 10201113000 in words is "ten billion, two hundred one million, one hundred thirteen thousand".