100222264799100 has 216 divisors, whose sum is σ = 325811901109968. Its totient is φ = 26722990195200.

The previous prime is 100222264799087. The next prime is 100222264799119. The reversal of 100222264799100 is 1997462222001.

100222264799100 is a `hidden beast` number, since 10 + 0 + 222 + 264 + 79 + 91 + 0 + 0 = 666.

It is a super-2 number, since 2×100222264799100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224722330 + ... + 225167870.

Almost surely, 2^{100222264799100} is an apocalyptic number.

100222264799100 is a gapful number since it is divisible by the number (10) 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 100222264799100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162905950554984).

100222264799100 is an abundant number, since it is smaller than the sum of its proper divisors (225589636310868).

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

100222264799100 is a wasteful number, since it uses less digits than its factorization.

100222264799100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454827 (or 454808 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100222264799100 in words is "one hundred trillion, two hundred twenty-two billion, two hundred sixty-four million, seven hundred ninety-nine thousand, one hundred".