100012221201001 has 8 divisors (see below), whose sum is σ = 106297936740864. Its totient is φ = 93771243850560.

The previous prime is 100012221200971. The next prime is 100012221201043. The reversal of 100012221201001 is 100102122210001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012221201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012221201401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11184542745 + ... + 11184551686.

It is an arithmetic number, because the mean of its divisors is an integer number (13287242092608).

Almost surely, 2^{100012221201001} is an apocalyptic number.

It is an amenable number.

100012221201001 is a deficient number, since it is larger than the sum of its proper divisors (6285715539863).

100012221201001 is a wasteful number, since it uses less digits than its factorization.

100012221201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22369094711.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100012221201001 its reverse (100102122210001), we get a palindrome (200114343411002).

The spelling of 100012221201001 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, two hundred one thousand, one".