10221102101200 has 60 divisors (see below), whose sum is σ = 25155129492108. Its totient is φ = 3988722764800.

The previous prime is 10221102101183. The next prime is 10221102101209. The reversal of 10221102101200 is 210120112201.

It can be written as a sum of positive squares in 6 ways, for example, as 310039603344 + 9911062497856 = 556812^2 + 3148184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221102101209) 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, 311602567 + ... + 311635366.

Almost surely, 2^{10221102101200} is an apocalyptic number.

10221102101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221102101200 is an abundant number, since it is smaller than the sum of its proper divisors (14934027390908).

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

10221102101200 is a wasteful number, since it uses less digits than its factorization.

10221102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623237992 (or 623237981 counting only the distinct ones).

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

Adding to 10221102101200 its reverse (210120112201), we get a palindrome (10431222213401).

The spelling of 10221102101200 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, one hundred one thousand, two hundred".