12122102101095 has 80 divisors (see below), whose sum is σ = 24835381919040. Its totient is φ = 5541285344256.

The previous prime is 12122102101091. The next prime is 12122102101121. The reversal of 12122102101095 is 59010120122121.

12122102101095 is a `hidden beast` number, since 121 + 221 + 0 + 210 + 109 + 5 = 666.

It is not a de Polignac number, because 12122102101095 - 2² = 12122102101091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102101091) 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 79 ways as a sum of consecutive naturals, for example, 73539789 + ... + 73704441.

It is an arithmetic number, because the mean of its divisors is an integer number (310442273988).

Almost surely, 2^{12122102101095} is an apocalyptic number.

12122102101095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12122102101095 is an abundant number, since it is smaller than the sum of its proper divisors (12713279817945).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122102101095 is a wasteful number, since it uses less digits than its factorization.

12122102101095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190646 (or 190637 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 12122102101095 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, ninety-five".