112010102101 has 2 divisors, whose sum is σ = 112010102102. Its totient is φ = 112010102100.

The previous prime is 112010101997. The next prime is 112010102107. The reversal of 112010102101 is 101201010211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111957829201 + 52272900 = 334601^2 + 7230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112010102101 is a prime.

It is a super-2 number, since 2×112010102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112010102107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005051050 + 56005051051.

It is an arithmetic number, because the mean of its divisors is an integer number (56005051051).

Almost surely, 2^112010102101 is an apocalyptic number.

It is an amenable number.

112010102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112010102101 is an equidigital number, since it uses as much as digits as its factorization.

112010102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112010102101 its reverse (101201010211), we get a palindrome (213211112312).

It can be divided in two parts, 11201010210 and 1, that added together give a palindrome (11201010211).

The spelling of 112010102101 in words is "one hundred twelve billion, ten million, one hundred two thousand, one hundred one".