220001232032100 has 432 divisors, whose sum is σ = 713275445522640. Its totient is φ = 56679649689600.

The previous prime is 220001232032083. The next prime is 220001232032129. The reversal of 220001232032100 is 1230232100022.

220001232032100 is a `hidden beast` number, since 2 + 20 + 0 + 0 + 1 + 2 + 320 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 198402775144704 + 21598456887396 = 14085552^2 + 4647414^2 .

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

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, 7774705152 + ... + 7774733448.

Almost surely, 2^{220001232032100} is an apocalyptic number.

220001232032100 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 220001232032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356637722761320).

220001232032100 is an abundant number, since it is smaller than the sum of its proper divisors (493274213490540).

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

220001232032100 is a wasteful number, since it uses less digits than its factorization.

220001232032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30400 (or 30390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220001232032100 its reverse (1230232100022), we get a palindrome (221231464132122).

The spelling of 220001232032100 in words is "two hundred twenty trillion, one billion, two hundred thirty-two million, thirty-two thousand, one hundred".