10211101200 has 180 divisors, whose sum is σ = 35512102080. Its totient is φ = 2717064960.

The previous prime is 10211101139. The next prime is 10211101207. The reversal of 10211101200 is 210111201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 (10211101207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1807981 + ... + 1813619.

It is an arithmetic number, because the mean of its divisors is an integer number (197289456).

Almost surely, 2^10211101200 is an apocalyptic number.

10211101200 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 10211101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756051040).

10211101200 is an abundant number, since it is smaller than the sum of its proper divisors (25301000880).

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

10211101200 is a wasteful number, since it uses less digits than its factorization.

10211101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6152 counting only the distinct ones).

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

Adding to 10211101200 its reverse (210111201), we get a palindrome (10421212401).

The spelling of 10211101200 in words is "ten billion, two hundred eleven million, one hundred one thousand, two hundred".