10506060110101 has 2 divisors, whose sum is σ = 10506060110102. Its totient is φ = 10506060110100.

The previous prime is 10506060110069. The next prime is 10506060110131. The reversal of 10506060110101 is 10101106060501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10315344486001 + 190715624100 = 3211751^2 + 436710^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506060110101 - 2⁵ = 10506060110069 is a prime.

It is a super-2 number, since 2×10506060110101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10506060110131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253030055050 + 5253030055051.

It is an arithmetic number, because the mean of its divisors is an integer number (5253030055051).

Almost surely, 2^{10506060110101} is an apocalyptic number.

It is an amenable number.

10506060110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506060110101 is an equidigital number, since it uses as much as digits as its factorization.

10506060110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 10506060110101 its reverse (10101106060501), we get a palindrome (20607166170602).

Subtracting from 10506060110101 its reverse (10101106060501), we obtain a square (404954049600 = 636360²).

The spelling of 10506060110101 in words is "ten trillion, five hundred six billion, sixty million, one hundred ten thousand, one hundred one".