105010610101 has 2 divisors, whose sum is σ = 105010610102. Its totient is φ = 105010610100.

The previous prime is 105010610093. The next prime is 105010610119. The reversal of 105010610101 is 101016010501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63983702500 + 41026907601 = 252950^2 + 202551^2 .

It is a cyclic number.

It is not a de Polignac number, because 105010610101 - 2³ = 105010610093 is a prime.

It is a super-2 number, since 2×105010610101² (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 (105010610171) 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 as a sum of consecutive naturals, namely, 52505305050 + 52505305051.

It is an arithmetic number, because the mean of its divisors is an integer number (52505305051).

Almost surely, 2^105010610101 is an apocalyptic number.

It is an amenable number.

105010610101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010610101 is an equidigital number, since it uses as much as digits as its factorization.

105010610101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105010610101 its reverse (101016010501), we get a palindrome (206026620602).

The spelling of 105010610101 in words is "one hundred five billion, ten million, six hundred ten thousand, one hundred one".