106101221110111 has 24 divisors (see below), whose sum is σ = 113259676604400. Its totient is φ = 99368166648960.

The previous prime is 106101221110099. The next prime is 106101221110117. The reversal of 106101221110111 is 111011122101601.

It is not a de Polignac number, because 106101221110111 - 2¹¹ = 106101221108063 is a prime.

It is a super-2 number, since 2×106101221110111² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101221110117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165819745 + ... + 166458373.

It is an arithmetic number, because the mean of its divisors is an integer number (4719153191850).

Almost surely, 2^{106101221110111} is an apocalyptic number.

106101221110111 is a deficient number, since it is larger than the sum of its proper divisors (7158455494289).

106101221110111 is an equidigital number, since it uses as much as digits as its factorization.

106101221110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643927 (or 643908 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 106101221110111 its reverse (111011122101601), we get a palindrome (217112343211712).

The spelling of 106101221110111 in words is "one hundred six trillion, one hundred one billion, two hundred twenty-one million, one hundred ten thousand, one hundred eleven".