101112121 has 16 divisors (see below), whose sum is σ = 112246848. Its totient is φ = 90316800.

The previous prime is 101112119. The next prime is 101112133. The reversal of 101112121 is 121211101.

It is a cyclic number.

It is not a de Polignac number, because 101112121 - 2¹ = 101112119 is a prime.

It is a super-2 number, since 2×101112121² = 20447322026237282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112098 and 101112107.

It is not an unprimeable number, because it can be changed into a prime (101112161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205686 + ... + 206176.

It is an arithmetic number, because the mean of its divisors is an integer number (7015428).

Almost surely, 2^101112121 is an apocalyptic number.

101112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112121 is a deficient number, since it is larger than the sum of its proper divisors (11134727).

101112121 is a wasteful number, since it uses less digits than its factorization.

101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

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

The square root of 101112121 is about 10055.4523021095. The cubic root of 101112121 is about 465.8732133111.

Adding to 101112121 its reverse (121211101), we get a palindrome (222323222).

The spelling of 101112121 in words is "one hundred one million, one hundred twelve thousand, one hundred twenty-one".