22121120122101 has 160 divisors (see below), whose sum is σ = 44401107776256. Its totient is φ = 10599683328000.

The previous prime is 22121120122067. The next prime is 22121120122103. The reversal of 22121120122101 is 10122102112122.

22121120122101 is a `hidden beast` number, since 221 + 21 + 1 + 201 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 22121120122101 - 2⁶ = 22121120122037 is a prime.

It is a super-2 number, since 2×22121120122101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121120122103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 110251011 + ... + 110451471.

Almost surely, 2^{22121120122101} is an apocalyptic number.

22121120122101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22121120122101 is an abundant number, since it is smaller than the sum of its proper divisors (22279987654155).

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

22121120122101 is a wasteful number, since it uses less digits than its factorization.

22121120122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201865 (or 201856 counting only the distinct ones).

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

Adding to 22121120122101 its reverse (10122102112122), we get a palindrome (32243222234223).

The spelling of 22121120122101 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".