201101212001001 has 16 divisors (see below), whose sum is σ = 288769301167424. Its totient is φ = 123750912072384.

The previous prime is 201101212000967. The next prime is 201101212001009. The reversal of 201101212001001 is 100100212101102.

201101212001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-201101212001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101212001009) 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, 75336511 + ... + 77960196.

It is an arithmetic number, because the mean of its divisors is an integer number (18048081322964).

Almost surely, 2^{201101212001001} is an apocalyptic number.

It is an amenable number.

201101212001001 is a deficient number, since it is larger than the sum of its proper divisors (87668089166423).

201101212001001 is a wasteful number, since it uses less digits than its factorization.

201101212001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153330360.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101212001001 its reverse (100100212101102), we get a palindrome (301201424102103).

It can be divided in two parts, 20110121 and 2001001, that added together give a palindrome (22111122).

The spelling of 201101212001001 in words is "two hundred one trillion, one hundred one billion, two hundred twelve million, one thousand, one".