10112112200101 has 2 divisors, whose sum is σ = 10112112200102. Its totient is φ = 10112112200100.

The previous prime is 10112112200081. The next prime is 10112112200107. The reversal of 10112112200101 is 10100221121101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10078942320225 + 33169879876 = 3174735^2 + 182126^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112112200101 - 2²³ = 10112103811493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112112200107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056056100050 + 5056056100051.

It is an arithmetic number, because the mean of its divisors is an integer number (5056056100051).

Almost surely, 2^{10112112200101} is an apocalyptic number.

It is an amenable number.

10112112200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112112200101 is an equidigital number, since it uses as much as digits as its factorization.

10112112200101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10112112200101 its reverse (10100221121101), we get a palindrome (20212333321202).

The spelling of 10112112200101 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, two hundred thousand, one hundred one".