10101166110101 has 4 divisors (see below), whose sum is σ = 11019453938304. Its totient is φ = 9182878281900.

The previous prime is 10101166110059. The next prime is 10101166110109.

10101166110101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10101166110101 - 2¹⁰ = 10101166109077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101166110109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459143914085 + ... + 459143914106.

It is an arithmetic number, because the mean of its divisors is an integer number (2754863484576).

Almost surely, 2^{10101166110101} is an apocalyptic number.

10101166110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101166110101 is a deficient number, since it is larger than the sum of its proper divisors (918287828203).

10101166110101 is an equidigital number, since it uses as much as digits as its factorization.

10101166110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918287828202.

The product of its (nonzero) digits is 36, while the sum is 20.

It can be divided in two parts, 1010116 and 6110101, that added together give a palindrome (7120217).

The spelling of 10101166110101 in words is "ten trillion, one hundred one billion, one hundred sixty-six million, one hundred ten thousand, one hundred one".