100220313320100 has 144 divisors (see below), whose sum is σ = 322632931420800. Its totient is φ = 26688655128960.

The previous prime is 100220313320093. The next prime is 100220313320107. The reversal of 100220313320100 is 1023313022001.

100220313320100 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 20 + 313 + 320 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100220313320093) and next prime (100220313320107).

It is a super-2 number, since 2×100220313320100² (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 not an unprimeable number, because it can be changed into a prime (100220313320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23565735 + ... + 27491534.

It is an arithmetic number, because the mean of its divisors is an integer number (2240506468200).

Almost surely, 2^{100220313320100} is an apocalyptic number.

100220313320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220313320100 is an abundant number, since it is smaller than the sum of its proper divisors (222412618100700).

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

100220313320100 is a wasteful number, since it uses less digits than its factorization.

100220313320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51058019 (or 51058006 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100220313320100 its reverse (1023313022001), we get a palindrome (101243626342101).

The spelling of 100220313320100 in words is "one hundred trillion, two hundred twenty billion, three hundred thirteen million, three hundred twenty thousand, one hundred".