201101011221121 has 16 divisors (see below), whose sum is σ = 220982096592000. Its totient is φ = 181491292259200.

The previous prime is 201101011221079. The next prime is 201101011221133. The reversal of 201101011221121 is 121122110101102.

It is a de Polignac number, because none of the positive numbers 2^k-201101011221121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201101011221095 and 201101011221104.

It is not an unprimeable number, because it can be changed into a prime (201101011224121) 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, 120098221 + ... + 121761178.

It is an arithmetic number, because the mean of its divisors is an integer number (13811381037000).

Almost surely, 2^{201101011221121} is an apocalyptic number.

It is an amenable number.

201101011221121 is a deficient number, since it is larger than the sum of its proper divisors (19881085370879).

201101011221121 is a wasteful number, since it uses less digits than its factorization.

201101011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241859960.

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

Adding to 201101011221121 its reverse (121122110101102), we get a palindrome (322223121322223).

The spelling of 201101011221121 in words is "two hundred one trillion, one hundred one billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".