106111206101 has 32 divisors (see below), whose sum is σ = 114419226240. Its totient is φ = 98053632000.

The previous prime is 106111206079. The next prime is 106111206107. The reversal of 106111206101 is 101602111601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106111206101 - 2¹⁸ = 106110943957 is a prime.

It is a super-2 number, since 2×106111206101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111206107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143587190 + ... + 143587928.

It is an arithmetic number, because the mean of its divisors is an integer number (3575600820).

Almost surely, 2^106111206101 is an apocalyptic number.

It is an amenable number.

106111206101 is a deficient number, since it is larger than the sum of its proper divisors (8308020139).

106111206101 is a wasteful number, since it uses less digits than its factorization.

106111206101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 106111206101 its reverse (101602111601), we get a palindrome (207713317702).

The spelling of 106111206101 in words is "one hundred six billion, one hundred eleven million, two hundred six thousand, one hundred one".