10100221201200 has 480 divisors, whose sum is σ = 35247596009472. Its totient is φ = 2457501696000.

The previous prime is 10100221201193. The next prime is 10100221201223. The reversal of 10100221201200 is 210212200101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525195585 + ... + 525214815.

Almost surely, 2^{10100221201200} is an apocalyptic number.

10100221201200 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 10100221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623798004736).

10100221201200 is an abundant number, since it is smaller than the sum of its proper divisors (25147374808272).

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

10100221201200 is a wasteful number, since it uses less digits than its factorization.

10100221201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100221201200 its reverse (210212200101), we get a palindrome (10310433401301).

The spelling of 10100221201200 in words is "ten trillion, one hundred billion, two hundred twenty-one million, two hundred one thousand, two hundred".