201110100000 has 288 divisors, whose sum is σ = 666749325312. Its totient is φ = 53068800000.

The previous prime is 201110099989. The next prime is 201110100019. The reversal of 201110100000 is 1011102.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29096545 + ... + 29103455.

It is an arithmetic number, because the mean of its divisors is an integer number (2315101824).

Almost surely, 2^201110100000 is an apocalyptic number.

201110100000 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 201110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333374662656).

201110100000 is an abundant number, since it is smaller than the sum of its proper divisors (465639225312).

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

201110100000 is an frugal number, since it uses more digits than its factorization.

201110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 201110100000 its reverse (1011102), we get a palindrome (201111111102).

The spelling of 201110100000 in words is "two hundred one billion, one hundred ten million, one hundred thousand".