32220220220100 has 432 divisors, whose sum is σ = 110969094023424. Its totient is φ = 7754670432000.

The previous prime is 32220220220099. The next prime is 32220220220179. The reversal of 32220220220100 is 102202202223.

32220220220100 is a `hidden beast` number, since 3 + 2 + 220 + 220 + 220 + 1 + 0 + 0 = 666.

It is a super-4 number, since 4×32220220220100⁴ (a number of 55 digits) contains 4444 as substring.

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, 1566892419 + ... + 1566912981.

It is an arithmetic number, because the mean of its divisors is an integer number (256872902832).

Almost surely, 2^{32220220220100} is an apocalyptic number.

32220220220100 is a gapful number since it is divisible by the number (30) 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 32220220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55484547011712).

32220220220100 is an abundant number, since it is smaller than the sum of its proper divisors (78748873803324).

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

32220220220100 is a wasteful number, since it uses less digits than its factorization.

32220220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21728 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32220220220100 its reverse (102202202223), we get a palindrome (32322422422323).

The spelling of 32220220220100 in words is "thirty-two trillion, two hundred twenty billion, two hundred twenty million, two hundred twenty thousand, one hundred".