220666104242100 has 432 divisors, whose sum is σ = 776703229061760. Its totient is φ = 51930406886400.

The previous prime is 220666104242083. The next prime is 220666104242131. The reversal of 220666104242100 is 1242401666022.

It is a super-2 number, since 2×220666104242100² (a number of 29 digits) contains 22 as substring.

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

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, 160119574 + ... + 161491826.

Almost surely, 2^{220666104242100} is an apocalyptic number.

220666104242100 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 220666104242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388351614530880).

220666104242100 is an abundant number, since it is smaller than the sum of its proper divisors (556037124819660).

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

220666104242100 is a wasteful number, since it uses less digits than its factorization.

220666104242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372760 (or 1372750 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 220666104242100 in words is "two hundred twenty trillion, six hundred sixty-six billion, one hundred four million, two hundred forty-two thousand, one hundred".