21100221121122 has 96 divisors (see below), whose sum is σ = 53772331092480. Its totient is φ = 5895272136960.

The previous prime is 21100221121097. The next prime is 21100221121151. The reversal of 21100221121122 is 22112112200112.

21100221121122 is a `hidden beast` number, since 211 + 0 + 0 + 221 + 1 + 211 + 22 = 666.

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 = 21100221121095 and 21100221121104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2576722 + ... + 6988557.

It is an arithmetic number, because the mean of its divisors is an integer number (560128448880).

Almost surely, 2^{21100221121122} is an apocalyptic number.

21100221121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21100221121122 is an abundant number, since it is smaller than the sum of its proper divisors (32672109971358).

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

21100221121122 is a wasteful number, since it uses less digits than its factorization.

21100221121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566168 (or 9566165 counting only the distinct ones).

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

Adding to 21100221121122 its reverse (22112112200112), we get a palindrome (43212333321234).

The spelling of 21100221121122 in words is "twenty-one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".