12200012122101 has 16 divisors (see below), whose sum is σ = 16483534107264. Its totient is φ = 8025626764544.

The previous prime is 12200012122091. The next prime is 12200012122117. The reversal of 12200012122101 is 10122121000221.

12200012122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12200012122101 - 2¹³ = 12200012113909 is a prime.

It is a super-2 number, since 2×12200012122101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200012122171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88804800 + ... + 88942073.

It is an arithmetic number, because the mean of its divisors is an integer number (1030220881704).

Almost surely, 2^{12200012122101} is an apocalyptic number.

It is an amenable number.

12200012122101 is a deficient number, since it is larger than the sum of its proper divisors (4283521985163).

12200012122101 is a wasteful number, since it uses less digits than its factorization.

12200012122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177747180.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200012122101 its reverse (10122121000221), we get a palindrome (22322133122322).

The spelling of 12200012122101 in words is "twelve trillion, two hundred billion, twelve million, one hundred twenty-two thousand, one hundred one".