221457041752100 has 576 divisors, whose sum is σ = 631065601216512. Its totient is φ = 65405902848000.

The previous prime is 221457041752073. The next prime is 221457041752109. The reversal of 221457041752100 is 1257140754122.

It is a super-3 number, since 3×221457041752100³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221457041752109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13757651252 + ... + 13757667348.

It is an arithmetic number, because the mean of its divisors is an integer number (1095600002112).

Almost surely, 2^{221457041752100} is an apocalyptic number.

221457041752100 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 221457041752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315532800608256).

221457041752100 is an abundant number, since it is smaller than the sum of its proper divisors (409608559464412).

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

221457041752100 is a wasteful number, since it uses less digits than its factorization.

221457041752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16869 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 221457041752100 in words is "two hundred twenty-one trillion, four hundred fifty-seven billion, forty-one million, seven hundred fifty-two thousand, one hundred".