10221122021100 has 144 divisors (see below), whose sum is σ = 30244364236800. Its totient is φ = 2663927505920.

The previous prime is 10221122021081. The next prime is 10221122021119. The reversal of 10221122021100 is 112022112201.

It is an interprime number because it is at equal distance from previous prime (10221122021081) and next prime (10221122021119).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221122021100.

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 47 ways as a sum of consecutive naturals, for example, 9633796 + ... + 10642004.

It is an arithmetic number, because the mean of its divisors is an integer number (210030307200).

Almost surely, 2^{10221122021100} is an apocalyptic number.

10221122021100 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 10221122021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122182118400).

10221122021100 is an abundant number, since it is smaller than the sum of its proper divisors (20023242215700).

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

10221122021100 is a wasteful number, since it uses less digits than its factorization.

10221122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008992 (or 1008985 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221122021100 its reverse (112022112201), we get a palindrome (10333144133301).

The spelling of 10221122021100 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-one thousand, one hundred".