21122101201122 has 64 divisors (see below), whose sum is σ = 48800708812800. Its totient is φ = 6764562389520.

The previous prime is 21122101201109. The next prime is 21122101201127. The reversal of 21122101201122 is 22110210122112.

21122101201122 is a `hidden beast` number, since 211 + 2 + 210 + 120 + 1 + 122 = 666.

It is a super-2 number, since 2×21122101201122² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122101201095 and 21122101201104.

It is not an unprimeable number, because it can be changed into a prime (21122101201127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45154878 + ... + 45620249.

It is an arithmetic number, because the mean of its divisors is an integer number (762511075200).

Almost surely, 2^{21122101201122} is an apocalyptic number.

21122101201122 is an abundant number, since it is smaller than the sum of its proper divisors (27678607611678).

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

21122101201122 is a wasteful number, since it uses less digits than its factorization.

21122101201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90775308 (or 90775302 counting only the distinct ones).

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

Adding to 21122101201122 its reverse (22110210122112), we get a palindrome (43232311323234).

The spelling of 21122101201122 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, two hundred one thousand, one hundred twenty-two".