101112220121 has 8 divisors (see below), whose sum is σ = 110309319264. Its totient is φ = 91915967520.

The previous prime is 101112220087. The next prime is 101112220141. The reversal of 101112220121 is 121022211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112220121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112220096 and 101112220105.

It is not an unprimeable number, because it can be changed into a prime (101112220141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52445 + ... + 452741.

It is an arithmetic number, because the mean of its divisors is an integer number (13788664908).

Almost surely, 2^101112220121 is an apocalyptic number.

101112220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112220121 is a deficient number, since it is larger than the sum of its proper divisors (9197099143).

101112220121 is a wasteful number, since it uses less digits than its factorization.

101112220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423271.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112220121 its reverse (121022211101), we get a palindrome (222134431222).

The spelling of 101112220121 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".