10211112001200 has 240 divisors, whose sum is σ = 35685899099136. Its totient is φ = 2475233510400.

The previous prime is 10211112001187. The next prime is 10211112001201. The reversal of 10211112001200 is 210021111201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10211112001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264812322 + ... + 264850878.

Almost surely, 2^{10211112001200} is an apocalyptic number.

10211112001200 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 10211112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842949549568).

10211112001200 is an abundant number, since it is smaller than the sum of its proper divisors (25474787097936).

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

10211112001200 is a wasteful number, since it uses less digits than its factorization.

10211112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58652 (or 58641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211112001200 its reverse (210021111201), we get a palindrome (10421133112401).

The spelling of 10211112001200 in words is "ten trillion, two hundred eleven billion, one hundred twelve million, one thousand, two hundred".