221001201323100 has 432 divisors, whose sum is σ = 795515413754880. Its totient is φ = 50752933862400.

The previous prime is 221001201323039. The next prime is 221001201323143. The reversal of 221001201323100 is 1323102100122.

221001201323100 is a `hidden beast` number, since 2 + 2 + 100 + 120 + 132 + 310 + 0 = 666.

It is a super-2 number, since 2×221001201323100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3953269749 + ... + 3953325651.

Almost surely, 2^{221001201323100} is an apocalyptic number.

221001201323100 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 221001201323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397757706877440).

221001201323100 is an abundant number, since it is smaller than the sum of its proper divisors (574514212431780).

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

221001201323100 is a wasteful number, since it uses less digits than its factorization.

221001201323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76970 (or 76960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221001201323100 its reverse (1323102100122), we get a palindrome (222324303423222).

The spelling of 221001201323100 in words is "two hundred twenty-one trillion, one billion, two hundred one million, three hundred twenty-three thousand, one hundred".