10201211211200 has 84 divisors (see below), whose sum is σ = 25349884008792. Its totient is φ = 4040083584000.

The previous prime is 10201211211101. The next prime is 10201211211203. The reversal of 10201211211200 is 211211210201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201211211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31401554 + ... + 31724753.

It is an arithmetic number, because the mean of its divisors is an integer number (301784333438).

Almost surely, 2^{10201211211200} is an apocalyptic number.

10201211211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201211211200 is an abundant number, since it is smaller than the sum of its proper divisors (15148672797592).

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

10201211211200 is a wasteful number, since it uses less digits than its factorization.

10201211211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63126430 (or 63126415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201211211200 its reverse (211211210201), we get a palindrome (10412422421401).

Subtracting from 10201211211200 its reverse (211211210201), we obtain a palindrome (9990000000999).

The spelling of 10201211211200 in words is "ten trillion, two hundred one billion, two hundred eleven million, two hundred eleven thousand, two hundred".