100201011022001 has 8 divisors (see below), whose sum is σ = 100289412194880. Its totient is φ = 100112647038768.

The previous prime is 100201011021973. The next prime is 100201011022097. The reversal of 100201011022001 is 100220110102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201011022001 - 2¹⁴ = 100201011005617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201011025001) 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 7 ways as a sum of consecutive naturals, for example, 3905006 + ... + 14685063.

It is an arithmetic number, because the mean of its divisors is an integer number (12536176524360).

Almost surely, 2^{100201011022001} is an apocalyptic number.

It is an amenable number.

100201011022001 is a deficient number, since it is larger than the sum of its proper divisors (88401172879).

100201011022001 is a wasteful number, since it uses less digits than its factorization.

100201011022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18594823.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201011022001 its reverse (100220110102001), we get a palindrome (200421121124002).

The spelling of 100201011022001 in words is "one hundred trillion, two hundred one billion, eleven million, twenty-two thousand, one".