101112022011121 has 16 divisors (see below), whose sum is σ = 115303512268800. Its totient is φ = 87828847189200.

The previous prime is 101112022011103. The next prime is 101112022011131. The reversal of 101112022011121 is 121110220211101.

It is a cyclic number.

It is not a de Polignac number, because 101112022011121 - 2⁵ = 101112022011089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112022011095 and 101112022011104.

It is not an unprimeable number, because it can be changed into a prime (101112022011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876657831 + ... + 1876711708.

It is an arithmetic number, because the mean of its divisors is an integer number (7206469516800).

Almost surely, 2^{101112022011121} is an apocalyptic number.

101112022011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112022011121 is a deficient number, since it is larger than the sum of its proper divisors (14191490257679).

101112022011121 is a wasteful number, since it uses less digits than its factorization.

101112022011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753369660.

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

Adding to 101112022011121 its reverse (121110220211101), we get a palindrome (222222242222222).

The spelling of 101112022011121 in words is "one hundred one trillion, one hundred twelve billion, twenty-two million, eleven thousand, one hundred twenty-one".