101101102121 has 8 divisors (see below), whose sum is σ = 101482660320. Its totient is φ = 100720063008.

The previous prime is 101101102087. The next prime is 101101102127. The reversal of 101101102121 is 121201101101.

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 101101102121 - 2¹⁰ = 101101101097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101102127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262730 + ... + 520796.

It is an arithmetic number, because the mean of its divisors is an integer number (12685332540).

Almost surely, 2^101101102121 is an apocalyptic number.

It is an amenable number.

101101102121 is a deficient number, since it is larger than the sum of its proper divisors (381558199).

101101102121 is a wasteful number, since it uses less digits than its factorization.

101101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259543.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101102121 its reverse (121201101101), we get a palindrome (222302203222).

The spelling of 101101102121 in words is "one hundred one billion, one hundred one million, one hundred two thousand, one hundred twenty-one".