201121201212001 has 32 divisors (see below), whose sum is σ = 249332516064000. Its totient is φ = 161699468918400.

The previous prime is 201121201211921. The next prime is 201121201212053. The reversal of 201121201212001 is 100212102121102.

201121201212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201121201212001 - 2³¹ = 201119053728353 is a prime.

It is a super-2 number, since 2×201121201212001² (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 (201121201222001) 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, 152119060 + ... + 153435493.

It is an arithmetic number, because the mean of its divisors is an integer number (7791641127000).

Almost surely, 2^{201121201212001} is an apocalyptic number.

It is an amenable number.

201121201212001 is a deficient number, since it is larger than the sum of its proper divisors (48211314851999).

201121201212001 is a wasteful number, since it uses less digits than its factorization.

201121201212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305554694 (or 305554680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201121201212001 its reverse (100212102121102), we get a palindrome (301333303333103).

The spelling of 201121201212001 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred twelve thousand, one".