101112101022121 has 8 divisors (see below), whose sum is σ = 118015339795200. Its totient is φ = 84823525477248.

The previous prime is 101112101022109. The next prime is 101112101022157. The reversal of 101112101022121 is 121220101211101.

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 101112101022121 - 2⁹ = 101112101021609 is a prime.

It is a super-3 number, since 3×101112101022121³ (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 = 101112101022095 and 101112101022104.

It is not an unprimeable number, because it can be changed into a prime (101112101022161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153665806696 + ... + 153665807353.

It is an arithmetic number, because the mean of its divisors is an integer number (14751917474400).

Almost surely, 2^{101112101022121} is an apocalyptic number.

It is an amenable number.

101112101022121 is a deficient number, since it is larger than the sum of its proper divisors (16903238773079).

101112101022121 is an equidigital number, since it uses as much as digits as its factorization.

101112101022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307331614103.

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

Adding to 101112101022121 its reverse (121220101211101), we get a palindrome (222332202233222).

The spelling of 101112101022121 in words is "one hundred one trillion, one hundred twelve billion, one hundred one million, twenty-two thousand, one hundred twenty-one".