12122101012100 has 36 divisors (see below), whose sum is σ = 26565404358948. Its totient is φ = 4800832080000.

The previous prime is 12122101012097. The next prime is 12122101012103. The reversal of 12122101012100 is 121010122121.

It is an interprime number because it is at equal distance from previous prime (12122101012097) and next prime (12122101012103).

It can be written as a sum of positive squares in 6 ways, for example, as 2192934492736 + 9929166519364 = 1480856^2 + 3151058^2 .

It is not an unprimeable number, because it can be changed into a prime (12122101012103) 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, 600093911 + ... + 600114110.

Almost surely, 2^{12122101012100} is an apocalyptic number.

12122101012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101012100 is an abundant number, since it is smaller than the sum of its proper divisors (14443303346848).

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

12122101012100 is a wasteful number, since it uses less digits than its factorization.

12122101012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200208136 (or 1200208129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122101012100 its reverse (121010122121), we get a palindrome (12243111134221).

The spelling of 12122101012100 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, one hundred".