201101121112001 has 4 divisors (see below), whose sum is σ = 219383041213104. Its totient is φ = 182819201010900.

The previous prime is 201101121111977. The next prime is 201101121112027. The reversal of 201101121112001 is 100211121101102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 201101121112001 - 2¹⁸ = 201101120849857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101121112081) 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 3 ways as a sum of consecutive naturals, for example, 9140960050535 + ... + 9140960050556.

It is an arithmetic number, because the mean of its divisors is an integer number (54845760303276).

Almost surely, 2^{201101121112001} is an apocalyptic number.

It is an amenable number.

201101121112001 is a deficient number, since it is larger than the sum of its proper divisors (18281920101103).

201101121112001 is a wasteful number, since it uses less digits than its factorization.

201101121112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18281920101102.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201101121112001 its reverse (100211121101102), we get a palindrome (301312242213103).

The spelling of 201101121112001 in words is "two hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, one".