10221012212200 has 48 divisors (see below), whose sum is σ = 23765210045280. Its totient is φ = 4088171482560.

The previous prime is 10221012212197. The next prime is 10221012212221. The reversal of 10221012212200 is 221221012201.

It is a happy number.

It is a super-3 number, since 3×10221012212200³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074647 + ... + 4974553.

It is an arithmetic number, because the mean of its divisors is an integer number (495108542610).

Almost surely, 2^{10221012212200} is an apocalyptic number.

10221012212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221012212200 is an abundant number, since it is smaller than the sum of its proper divisors (13544197833080).

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

10221012212200 is a wasteful number, since it uses less digits than its factorization.

10221012212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917546 (or 2917537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221012212200 its reverse (221221012201), we get a palindrome (10442233224401).

The spelling of 10221012212200 in words is "ten trillion, two hundred twenty-one billion, twelve million, two hundred twelve thousand, two hundred".