221541103375020 has 576 divisors, whose sum is σ = 807993393951744. Its totient is φ = 48414247741440.

The previous prime is 221541103374967. The next prime is 221541103375127. The reversal of 221541103375020 is 20573301145122.

221541103375020 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 4 + 110 + 3 + 37 + 502 + 0 = 666.

221541103375020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7976837854 + ... + 7976865626.

It is an arithmetic number, because the mean of its divisors is an integer number (1402766308944).

Almost surely, 2^{221541103375020} is an apocalyptic number.

221541103375020 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 221541103375020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403996696975872).

221541103375020 is an abundant number, since it is smaller than the sum of its proper divisors (586452290576724).

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

221541103375020 is a wasteful number, since it uses less digits than its factorization.

221541103375020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35062 (or 35057 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 221541103375020 in words is "two hundred twenty-one trillion, five hundred forty-one billion, one hundred three million, three hundred seventy-five thousand, twenty".