100220414040 has 96 divisors (see below), whose sum is σ = 326490512400. Its totient is φ = 26661922560.

The previous prime is 100220414033. The next prime is 100220414057. The reversal of 100220414040 is 40414022001.

100220414040 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 41 + 404 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179070 + ... + 482189.

Almost surely, 2^100220414040 is an apocalyptic number.

100220414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220414040 is an abundant number, since it is smaller than the sum of its proper divisors (226270098360).

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

100220414040 is a wasteful number, since it uses less digits than its factorization.

100220414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661697 (or 661690 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100220414040 its reverse (40414022001), we get a palindrome (140634436041).

The spelling of 100220414040 in words is "one hundred billion, two hundred twenty million, four hundred fourteen thousand, forty".