10221100234020 has 288 divisors, whose sum is σ = 33810495919200. Its totient is φ = 2484354613248.

The previous prime is 10221100233991. The next prime is 10221100234069. The reversal of 10221100234020 is 2043200112201.

It is a happy number.

10221100234020 is a `hidden beast` number, since 1 + 0 + 221 + 100 + 2 + 340 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3932360388324 + 6288739845696 = 1983018^2 + 2507736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221100233984 and 10221100234002.

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, 74664196 + ... + 74800964.

It is an arithmetic number, because the mean of its divisors is an integer number (117397555275).

Almost surely, 2^{10221100234020} is an apocalyptic number.

10221100234020 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 10221100234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905247959600).

10221100234020 is an abundant number, since it is smaller than the sum of its proper divisors (23589395685180).

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

10221100234020 is a wasteful number, since it uses less digits than its factorization.

10221100234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137199 (or 137194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221100234020 its reverse (2043200112201), we get a palindrome (12264300346221).

The spelling of 10221100234020 in words is "ten trillion, two hundred twenty-one billion, one hundred million, two hundred thirty-four thousand, twenty".