101111131221321 has 64 divisors (see below), whose sum is σ = 146412668505600. Its totient is φ = 61698804350976.

The previous prime is 101111131221307. The next prime is 101111131221461. The reversal of 101111131221321 is 123122131111101.

It is not a de Polignac number, because 101111131221321 - 2⁶ = 101111131221257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111131221721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3078979020 + ... + 3079011858.

It is an arithmetic number, because the mean of its divisors is an integer number (2287697945400).

Almost surely, 2^{101111131221321} is an apocalyptic number.

It is an amenable number.

101111131221321 is a deficient number, since it is larger than the sum of its proper divisors (45301537284279).

101111131221321 is a wasteful number, since it uses less digits than its factorization.

101111131221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34498.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 101111131221321 its reverse (123122131111101), we get a palindrome (224233262332422).

The spelling of 101111131221321 in words is "one hundred one trillion, one hundred eleven billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty-one".