201101211021121 has 16 divisors (see below), whose sum is σ = 212655073655808. Its totient is φ = 189864179366400.

The previous prime is 201101211021047. The next prime is 201101211021163. The reversal of 201101211021121 is 121120112101102.

It is a cyclic number.

It is not a de Polignac number, because 201101211021121 - 2⁹ = 201101211020609 is a prime.

It is a super-2 number, since 2×201101211021121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201101211021095 and 201101211021104.

It is not an unprimeable number, because it can be changed into a prime (201101211021421) 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, 75583996 + ... + 78199378.

It is an arithmetic number, because the mean of its divisors is an integer number (13290942103488).

Almost surely, 2^{201101211021121} is an apocalyptic number.

It is an amenable number.

201101211021121 is a deficient number, since it is larger than the sum of its proper divisors (11553862634687).

201101211021121 is a wasteful number, since it uses less digits than its factorization.

201101211021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675952.

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

Adding to 201101211021121 its reverse (121120112101102), we get a palindrome (322221323122223).

The spelling of 201101211021121 in words is "two hundred one trillion, one hundred one billion, two hundred eleven million, twenty-one thousand, one hundred twenty-one".