101101112121 has 8 divisors (see below), whose sum is σ = 140662416960. Its totient is φ = 64470274352.

The previous prime is 101101112117. The next prime is 101101112129. The reversal of 101101112121 is 121211101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101112121 - 2² = 101101112117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101112097 and 101101112106.

It is not an unprimeable number, because it can be changed into a prime (101101112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732616686 + ... + 732616823.

It is an arithmetic number, because the mean of its divisors is an integer number (17582802120).

Almost surely, 2^101101112121 is an apocalyptic number.

It is an amenable number.

101101112121 is a deficient number, since it is larger than the sum of its proper divisors (39561304839).

101101112121 is a wasteful number, since it uses less digits than its factorization.

101101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465233535.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101112121 its reverse (121211101101), we get a palindrome (222312213222).

The spelling of 101101112121 in words is "one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".