106101106100101 has 8 divisors (see below), whose sum is σ = 121259650803200. Its totient is φ = 90942872354928.

The previous prime is 106101106100069. The next prime is 106101106100111. The reversal of 106101106100101 is 101001601101601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106101106100101 - 2⁵ = 106101106100069 is a prime.

It is a super-2 number, since 2×106101106100101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101106100111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77007861 + ... + 78373546.

It is an arithmetic number, because the mean of its divisors is an integer number (15157456350400).

Almost surely, 2^{106101106100101} is an apocalyptic number.

It is an amenable number.

106101106100101 is a deficient number, since it is larger than the sum of its proper divisors (15158544703099).

106101106100101 is an equidigital number, since it uses as much as digits as its factorization.

106101106100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155478963.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 106101106100101 its reverse (101001601101601), we get a palindrome (207102707201702).

The spelling of 106101106100101 in words is "one hundred six trillion, one hundred one billion, one hundred six million, one hundred thousand, one hundred one".