100224422001 has 48 divisors (see below), whose sum is σ = 171604193280. Its totient is φ = 55688796000.

The previous prime is 100224421993. The next prime is 100224422027.

100224422001 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 442 + 200 + 1 = 666.

100224422001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100224422001 - 2³ = 100224421993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100224422801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801085 + ... + 917706.

It is an arithmetic number, because the mean of its divisors is an integer number (3575087360).

Almost surely, 2^100224422001 is an apocalyptic number.

100224422001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100224422001 is a deficient number, since it is larger than the sum of its proper divisors (71379771279).

100224422001 is a wasteful number, since it uses less digits than its factorization.

100224422001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718858 (or 1718855 counting only the distinct ones).

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

It can be divided in two parts, 100224 and 422001, that added together give a palindrome (522225).

The spelling of 100224422001 in words is "one hundred billion, two hundred twenty-four million, four hundred twenty-two thousand, one".