102111100106 has 24 divisors (see below), whose sum is σ = 156573687360. Its totient is φ = 49944093912.

The previous prime is 102111100103. The next prime is 102111100111. The reversal of 102111100106 is 601001111201.

It is a super-2 number, since 2×102111100106² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102111100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11212751 + ... + 11221853.

It is an arithmetic number, because the mean of its divisors is an integer number (6523903640).

Almost surely, 2^102111100106 is an apocalyptic number.

102111100106 is a deficient number, since it is larger than the sum of its proper divisors (54462587254).

102111100106 is an equidigital number, since it uses as much as digits as its factorization.

102111100106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11738 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102111100106 its reverse (601001111201), we get a palindrome (703112211307).

The spelling of 102111100106 in words is "one hundred two billion, one hundred eleven million, one hundred thousand, one hundred six".