201121120111001 has 32 divisors (see below), whose sum is σ = 206162225837568. Its totient is φ = 196153687895040.

The previous prime is 201121120110947. The next prime is 201121120111027. The reversal of 201121120111001 is 100111021121102.

It is not a de Polignac number, because 201121120111001 - 2²² = 201121115916697 is a prime.

It is a super-2 number, since 2×201121120111001² (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 (201121120111091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6701565086 + ... + 6701595096.

It is an arithmetic number, because the mean of its divisors is an integer number (6442569557424).

Almost surely, 2^{201121120111001} is an apocalyptic number.

It is an amenable number.

201121120111001 is a deficient number, since it is larger than the sum of its proper divisors (5041105726567).

201121120111001 is a wasteful number, since it uses less digits than its factorization.

201121120111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32801.

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

Adding to 201121120111001 its reverse (100111021121102), we get a palindrome (301232141232103).

The spelling of 201121120111001 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, one".