221100331020000 has 480 divisors, whose sum is σ = 730235184940800. Its totient is φ = 58555928064000.

The previous prime is 221100331019987. The next prime is 221100331020013. The reversal of 221100331020000 is 20133001122.

221100331020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221100331019987) and next prime (221100331020013).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8688647277 + ... + 8688672723.

It is an arithmetic number, because the mean of its divisors is an integer number (1521323301960).

Almost surely, 2^{221100331020000} is an apocalyptic number.

221100331020000 is a gapful number since it is divisible by the number (20) 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 221100331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365117592470400).

221100331020000 is an abundant number, since it is smaller than the sum of its proper divisors (509134853920800).

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

221100331020000 is a wasteful number, since it uses less digits than its factorization.

221100331020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26468 (or 26445 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221100331020000 its reverse (20133001122), we get a palindrome (221120464021122).

The spelling of 221100331020000 in words is "two hundred twenty-one trillion, one hundred billion, three hundred thirty-one million, twenty thousand".