12122221102101 has 24 divisors (see below), whose sum is σ = 19113209865984. Its totient is φ = 7342366772160.

The previous prime is 12122221102081. The next prime is 12122221102111. The reversal of 12122221102101 is 10120112222121.

12122221102101 is a `hidden beast` number, since 1 + 21 + 222 + 211 + 0 + 210 + 1 = 666.

It is not a de Polignac number, because 12122221102101 - 2⁶ = 12122221102037 is a prime.

It is a super-2 number, since 2×12122221102101² (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 (12122221102111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36784261 + ... + 37112346.

It is an arithmetic number, because the mean of its divisors is an integer number (796383744416).

Almost surely, 2^{12122221102101} is an apocalyptic number.

12122221102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122221102101 is a deficient number, since it is larger than the sum of its proper divisors (6990988763883).

12122221102101 is a wasteful number, since it uses less digits than its factorization.

12122221102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73898281 (or 73898278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122221102101 its reverse (10120112222121), we get a palindrome (22242333324222).

The spelling of 12122221102101 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred one".