101211101122121 has 8 divisors (see below), whose sum is σ = 106541765410080. Its totient is φ = 95880813257088.

The previous prime is 101211101122091. The next prime is 101211101122129. The reversal of 101211101122121 is 121221101112101.

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 101211101122121 - 2³⁴ = 101193921252937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101211101122121.

It is not an unprimeable number, because it can be changed into a prime (101211101122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93553736 + ... + 94629401.

It is an arithmetic number, because the mean of its divisors is an integer number (13317720676260).

Almost surely, 2^{101211101122121} is an apocalyptic number.

It is an amenable number.

101211101122121 is a deficient number, since it is larger than the sum of its proper divisors (5330664287959).

101211101122121 is a wasteful number, since it uses less digits than its factorization.

101211101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188211463.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101211101122121 its reverse (121221101112101), we get a palindrome (222432202234222).

The spelling of 101211101122121 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".