106101106111101 has 4 divisors (see below), whose sum is σ = 141468141481472. Its totient is φ = 70734070740732.

The previous prime is 106101106111037. The next prime is 106101106111111. The reversal of 106101106111101 is 101111601101601.

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 not a de Polignac number, because 106101106111101 - 2⁶ = 106101106111037 is a prime.

It is a super-2 number, since 2×106101106111101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101106111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17683517685181 + ... + 17683517685186.

It is an arithmetic number, because the mean of its divisors is an integer number (35367035370368).

Almost surely, 2^{106101106111101} is an apocalyptic number.

It is an amenable number.

106101106111101 is a deficient number, since it is larger than the sum of its proper divisors (35367035370371).

106101106111101 is an equidigital number, since it uses as much as digits as its factorization.

106101106111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35367035370370.

The product of its (nonzero) digits is 36, while the sum is 21.

Adding to 106101106111101 its reverse (101111601101601), we get a palindrome (207212707212702).

The spelling of 106101106111101 in words is "one hundred six trillion, one hundred one billion, one hundred six million, one hundred eleven thousand, one hundred one".