106010101100111 has 24 divisors (see below), whose sum is σ = 120703656311280. Its totient is φ = 92540524460544.

The previous prime is 106010101100107. The next prime is 106010101100147. The reversal of 106010101100111 is 111001101010601.

It is a happy number.

It is not a de Polignac number, because 106010101100111 - 2² = 106010101100107 is a prime.

It is a super-2 number, since 2×106010101100111² (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 (106010101100011) 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, 17419106 + ... + 22703423.

It is an arithmetic number, because the mean of its divisors is an integer number (5029319012970).

Almost surely, 2^{106010101100111} is an apocalyptic number.

106010101100111 is a deficient number, since it is larger than the sum of its proper divisors (14693555211169).

106010101100111 is a wasteful number, since it uses less digits than its factorization.

106010101100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40123143 (or 40123124 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 106010101100111 its reverse (111001101010601), we get a palindrome (217011202110712).

The spelling of 106010101100111 in words is "one hundred six trillion, ten billion, one hundred one million, one hundred thousand, one hundred eleven".