10211101011200 has 216 divisors, whose sum is σ = 26103737587200. Its totient is φ = 3950506598400.

The previous prime is 10211101011187. The next prime is 10211101011227. The reversal of 10211101011200 is 211010111201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386668397 + ... + 386694803.

Almost surely, 2^{10211101011200} is an apocalyptic number.

10211101011200 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 10211101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051868793600).

10211101011200 is an abundant number, since it is smaller than the sum of its proper divisors (15892636576000).

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

10211101011200 is a wasteful number, since it uses less digits than its factorization.

10211101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28413 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211101011200 its reverse (211010111201), we get a palindrome (10422111122401).

The spelling of 10211101011200 in words is "ten trillion, two hundred eleven billion, one hundred one million, eleven thousand, two hundred".