10101201221200 has 60 divisors (see below), whose sum is σ = 24269597717760. Its totient is φ = 4040237111680.

The previous prime is 10101201221197. The next prime is 10101201221231. The reversal of 10101201221200 is 212210210101.

10101201221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10101201221200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5962641 + ... + 7466959.

It is an arithmetic number, because the mean of its divisors is an integer number (404493295296).

Almost surely, 2^{10101201221200} is an apocalyptic number.

10101201221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101201221200 is an abundant number, since it is smaller than the sum of its proper divisors (14168396496560).

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

10101201221200 is a wasteful number, since it uses less digits than its factorization.

10101201221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521124 (or 1521113 counting only the distinct ones).

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

Adding to 10101201221200 its reverse (212210210101), we get a palindrome (10313411431301).

The spelling of 10101201221200 in words is "ten trillion, one hundred one billion, two hundred one million, two hundred twenty-one thousand, two hundred".