112101002201101 has 2 divisors, whose sum is σ = 112101002201102. Its totient is φ = 112101002201100.

The previous prime is 112101002201087. The next prime is 112101002201117. The reversal of 112101002201101 is 101102200101211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62635732947076 + 49465269254025 = 7914274^2 + 7033155^2 .

It is an emirp because it is prime and its reverse (101102200101211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112101002201101 - 2⁷ = 112101002200973 is a prime.

It is a super-2 number, since 2×112101002201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112101002201191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050501100550 + 56050501100551.

It is an arithmetic number, because the mean of its divisors is an integer number (56050501100551).

Almost surely, 2^{112101002201101} is an apocalyptic number.

It is an amenable number.

112101002201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101002201101 is an equidigital number, since it uses as much as digits as its factorization.

112101002201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112101002201101 its reverse (101102200101211), we get a palindrome (213203202302312).

The spelling of 112101002201101 in words is "one hundred twelve trillion, one hundred one billion, two million, two hundred one thousand, one hundred one".