101112000121 has 16 divisors (see below), whose sum is σ = 118104765120. Its totient is φ = 85540871680.

The previous prime is 101112000089. The next prime is 101112000139. The reversal of 101112000121 is 121000211101.

It is not a de Polignac number, because 101112000121 - 2⁵ = 101112000089 is a prime.

It is a super-3 number, since 3×101112000121³ (a number of 34 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 = 101112000098 and 101112000107.

It is not an unprimeable number, because it can be changed into a prime (101112000151) 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 15 ways as a sum of consecutive naturals, for example, 3021031 + ... + 3054316.

It is an arithmetic number, because the mean of its divisors is an integer number (7381547820).

Almost surely, 2^101112000121 is an apocalyptic number.

101112000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112000121 is a deficient number, since it is larger than the sum of its proper divisors (16992764999).

101112000121 is a wasteful number, since it uses less digits than its factorization.

101112000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075464.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112000121 its reverse (121000211101), we get a palindrome (222112211222).

The spelling of 101112000121 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.