101101011222121 has 4 divisors (see below), whose sum is σ = 101188696402132. Its totient is φ = 101013326042112.

The previous prime is 101101011222073. The next prime is 101101011222193. The reversal of 101101011222121 is 121222110101101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 84865752732121 + 16235258490000 = 9212261^2 + 4029300^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101011222121 - 2³⁵ = 101066651483753 is a prime.

It is a super-3 number, since 3×101101011222121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101011222095 and 101101011222104.

It is not an unprimeable number, because it can be changed into a prime (101101011222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43842588276 + ... + 43842590581.

It is an arithmetic number, because the mean of its divisors is an integer number (25297174100533).

Almost surely, 2^{101101011222121} is an apocalyptic number.

It is an amenable number.

101101011222121 is a deficient number, since it is larger than the sum of its proper divisors (87685180011).

101101011222121 is an equidigital number, since it uses as much as digits as its factorization.

101101011222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87685180010.

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

Adding to 101101011222121 its reverse (121222110101101), we get a palindrome (222323121323222).

The spelling of 101101011222121 in words is "one hundred one trillion, one hundred one billion, eleven million, two hundred twenty-two thousand, one hundred twenty-one".