100200222002001 has 24 divisors (see below), whose sum is σ = 151587006092032. Its totient is φ = 58768458645600.

The previous prime is 100200222001991. The next prime is 100200222002003.

100200222002001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100200222002001 - 2⁹ = 100200222001489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100200222002003) 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 23 ways as a sum of consecutive naturals, for example, 4452144706 + ... + 4452167211.

Almost surely, 2^{100200222002001} is an apocalyptic number.

100200222002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200222002001 is a deficient number, since it is larger than the sum of its proper divisors (51386784090031).

100200222002001 is a wasteful number, since it uses less digits than its factorization.

100200222002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904311973 (or 8904311962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 100200222002001 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, two thousand, one".