101111102121121 has 4 divisors (see below), whose sum is σ = 101397535838532. Its totient is φ = 100824668403712.

The previous prime is 101111102121049. The next prime is 101111102121131. The reversal of 101111102121121 is 121121201111101.

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 40482220654096 + 60628881467025 = 6362564^2 + 7786455^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111102121121 - 2¹¹ = 101111102119073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111102121095 and 101111102121104.

It is not an unprimeable number, because it can be changed into a prime (101111102121131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143216858176 + ... + 143216858881.

It is an arithmetic number, because the mean of its divisors is an integer number (25349383959633).

Almost surely, 2^{101111102121121} is an apocalyptic number.

It is an amenable number.

101111102121121 is a deficient number, since it is larger than the sum of its proper divisors (286433717411).

101111102121121 is an equidigital number, since it uses as much as digits as its factorization.

101111102121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286433717410.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101111102121121 its reverse (121121201111101), we get a palindrome (222232303232222).

The spelling of 101111102121121 in words is "one hundred one trillion, one hundred eleven billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-one".