100201112220001 has 8 divisors (see below), whose sum is σ = 108277179814440. Its totient is φ = 92177657444352.

The previous prime is 100201112219977. The next prime is 100201112220067. The reversal of 100201112220001 is 100022211102001.

It can be written as a sum of positive squares in 4 ways, for example, as 23304418326225 + 76896693893776 = 4827465^2 + 8769076^2 .

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 100201112220001 - 2¹¹ = 100201112217953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100201112220091) 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, 13153200736 + ... + 13153208353.

It is an arithmetic number, because the mean of its divisors is an integer number (13534647476805).

Almost surely, 2^{100201112220001} is an apocalyptic number.

It is an amenable number.

100201112220001 is a deficient number, since it is larger than the sum of its proper divisors (8076067594439).

100201112220001 is a wasteful number, since it uses less digits than its factorization.

100201112220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26306409395.

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

Adding to 100201112220001 its reverse (100022211102001), we get a palindrome (200223323322002).

The spelling of 100201112220001 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, two hundred twenty thousand, one".