221357405551100 has 288 divisors, whose sum is σ = 595376825444352. Its totient is φ = 69561918720000.

The previous prime is 221357405551067. The next prime is 221357405551111. The reversal of 221357405551100 is 1155504753122.

It is a super-2 number, since 2×221357405551100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827429360 + ... + 827696840.

It is an arithmetic number, because the mean of its divisors is an integer number (2067280643904).

Almost surely, 2^{221357405551100} is an apocalyptic number.

221357405551100 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 221357405551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297688412722176).

221357405551100 is an abundant number, since it is smaller than the sum of its proper divisors (374019419893252).

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

221357405551100 is a wasteful number, since it uses less digits than its factorization.

221357405551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268157 (or 268150 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 41.

The spelling of 221357405551100 in words is "two hundred twenty-one trillion, three hundred fifty-seven billion, four hundred five million, five hundred fifty-one thousand, one hundred".