112121010101 has 8 divisors (see below), whose sum is σ = 112587430680. Its totient is φ = 111654957568.

The previous prime is 112121010059. The next prime is 112121010161. The reversal of 112121010101 is 101010121211.

It can be written as a sum of positive squares in 4 ways, for example, as 17902707601 + 94218302500 = 133801^2 + 306950^2 .

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-112121010101 is a prime.

It is a super-2 number, since 2×112121010101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121010161) 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 7 ways as a sum of consecutive naturals, for example, 527165 + ... + 708621.

It is an arithmetic number, because the mean of its divisors is an integer number (14073428835).

Almost surely, 2^112121010101 is an apocalyptic number.

It is an amenable number.

112121010101 is a deficient number, since it is larger than the sum of its proper divisors (466420579).

112121010101 is a wasteful number, since it uses less digits than its factorization.

112121010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184023.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112121010101 its reverse (101010121211), we get a palindrome (213131131312).

It can be divided in two parts, 1121210 and 10101, that added together give a palindrome (1131311).

The spelling of 112121010101 in words is "one hundred twelve billion, one hundred twenty-one million, ten thousand, one hundred one".