101266662101 has 16 divisors (see below), whose sum is σ = 111641712000. Its totient is φ = 91091563200.

The previous prime is 101266662097. The next prime is 101266662163.

101266662101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101266662101 - 2² = 101266662097 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 (101266662191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268415 + ... + 524003.

It is an arithmetic number, because the mean of its divisors is an integer number (6977607000).

Almost surely, 2^101266662101 is an apocalyptic number.

101266662101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101266662101 is a deficient number, since it is larger than the sum of its proper divisors (10375049899).

101266662101 is a wasteful number, since it uses less digits than its factorization.

101266662101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255980.

The product of its (nonzero) digits is 5184, while the sum is 32.

It can be divided in two parts, 101266 and 662101, that added together give a palindrome (763367).

The spelling of 101266662101 in words is "one hundred one billion, two hundred sixty-six million, six hundred sixty-two thousand, one hundred one".