102122110101 has 48 divisors (see below), whose sum is σ = 151356187584. Its totient is φ = 61195200000.

The previous prime is 102122110087. The next prime is 102122110159. The reversal of 102122110101 is 101011221201.

It is not a de Polignac number, because 102122110101 - 2³⁰ = 101048368277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35818326 + ... + 35821176.

It is an arithmetic number, because the mean of its divisors is an integer number (3153253908).

Almost surely, 2^102122110101 is an apocalyptic number.

102122110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122110101 is a deficient number, since it is larger than the sum of its proper divisors (49234077483).

102122110101 is a wasteful number, since it uses less digits than its factorization.

102122110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102122110101 its reverse (101011221201), we get a palindrome (203133331302).

Subtracting from 102122110101 its reverse (101011221201), we obtain a square (1110888900 = 33330²).

It can be divided in two parts, 1021 and 22110101, that added together give a palindrome (22111122).

The spelling of 102122110101 in words is "one hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".