112121020202101 has 2 divisors, whose sum is σ = 112121020202102. Its totient is φ = 112121020202100.

The previous prime is 112121020202099. The next prime is 112121020202117. The reversal of 112121020202101 is 101202020121211.

It is an a-pointer prime, because the next prime (112121020202117) can be obtained adding 112121020202101 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108933599139876 + 3187421062225 = 10437126^2 + 1785335^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121020202101 - 2¹ = 112121020202099 is a prime.

It is a super-2 number, since 2×112121020202101² (a number of 29 digits) contains 22 as substring.

Together with 112121020202099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121020202131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060510101050 + 56060510101051.

It is an arithmetic number, because the mean of its divisors is an integer number (56060510101051).

Almost surely, 2^{112121020202101} is an apocalyptic number.

It is an amenable number.

112121020202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121020202101 is an equidigital number, since it uses as much as digits as its factorization.

112121020202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112121020202101 its reverse (101202020121211), we get a palindrome (213323040323312).

The spelling of 112121020202101 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty million, two hundred two thousand, one hundred one".