10221002221100 has 72 divisors (see below), whose sum is σ = 24786043810416. Its totient is φ = 3626076160000.

The previous prime is 10221002220973. The next prime is 10221002221109. The reversal of 10221002221100 is 112220012201.

It is a super-3 number, since 3×10221002221100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10221002221109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113269781 + ... + 113359980.

It is an arithmetic number, because the mean of its divisors is an integer number (344250608478).

Almost surely, 2^{10221002221100} is an apocalyptic number.

10221002221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002221100 is an abundant number, since it is smaller than the sum of its proper divisors (14565041589316).

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

10221002221100 is a wasteful number, since it uses less digits than its factorization.

10221002221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226629827 (or 226629820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221002221100 its reverse (112220012201), we get a palindrome (10333222233301).

The spelling of 10221002221100 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, one hundred".