100201122012001 has 16 divisors (see below), whose sum is σ = 100707724848640. Its totient is φ = 99695696158080.

The previous prime is 100201122011993. The next prime is 100201122012023. The reversal of 100201122012001 is 100210221102001.

It is a cyclic number.

It is not a de Polignac number, because 100201122012001 - 2³ = 100201122011993 is a prime.

It is a super-2 number, since 2×100201122012001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201122012401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558853195 + ... + 559032463.

It is an arithmetic number, because the mean of its divisors is an integer number (6294232803040).

Almost surely, 2^{100201122012001} is an apocalyptic number.

It is an amenable number.

100201122012001 is a deficient number, since it is larger than the sum of its proper divisors (506602836639).

100201122012001 is a wasteful number, since it uses less digits than its factorization.

100201122012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182536.

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

Adding to 100201122012001 its reverse (100210221102001), we get a palindrome (200411343114002).

The spelling of 100201122012001 in words is "one hundred trillion, two hundred one billion, one hundred twenty-two million, twelve thousand, one".