10211202101200 has 120 divisors (see below), whose sum is σ = 24946051306880. Its totient is φ = 4016042035200.

The previous prime is 10211202101171. The next prime is 10211202101209. The reversal of 10211202101200 is 210120211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211202101209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6945187 + ... + 8286013.

Almost surely, 2^{10211202101200} is an apocalyptic number.

10211202101200 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 10211202101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473025653440).

10211202101200 is an abundant number, since it is smaller than the sum of its proper divisors (14734849205680).

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

10211202101200 is a wasteful number, since it uses less digits than its factorization.

10211202101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341165 (or 1341154 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211202101200 its reverse (210120211201), we get a palindrome (10421322312401).

The spelling of 10211202101200 in words is "ten trillion, two hundred eleven billion, two hundred two million, one hundred one thousand, two hundred".