10001022201200 has 120 divisors (see below), whose sum is σ = 25444950043968. Its totient is φ = 3764481802240.

The previous prime is 10001022201197. The next prime is 10001022201257. The reversal of 10001022201200 is 210222010001.

It is a happy number.

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, 43084649 + ... + 43316151.

Almost surely, 2^{10001022201200} is an apocalyptic number.

10001022201200 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 10001022201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722475021984).

10001022201200 is an abundant number, since it is smaller than the sum of its proper divisors (15443927842768).

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

10001022201200 is a wasteful number, since it uses less digits than its factorization.

10001022201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237891 (or 237880 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10001022201200 its reverse (210222010001), we get a palindrome (10211244211201).

The spelling of 10001022201200 in words is "ten trillion, one billion, twenty-two million, two hundred one thousand, two hundred".