100224141422001 has 128 divisors (see below), whose sum is σ = 142372568180736. Its totient is φ = 62645048524800.

The previous prime is 100224141421993. The next prime is 100224141422033.

It is a happy number.

100224141422001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100224141422001 - 2³ = 100224141421993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100224141422051) 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 127 ways as a sum of consecutive naturals, for example, 19396966920 + ... + 19396972086.

It is an arithmetic number, because the mean of its divisors is an integer number (1112285688912).

Almost surely, 2^{100224141422001} is an apocalyptic number.

It is an amenable number.

100224141422001 is a deficient number, since it is larger than the sum of its proper divisors (42148426758735).

100224141422001 is a wasteful number, since it uses less digits than its factorization.

100224141422001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691.

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 100224141422001 in words is "one hundred trillion, two hundred twenty-four billion, one hundred forty-one million, four hundred twenty-two thousand, one".