22121012011104 has 96 divisors (see below), whose sum is σ = 64526863494240. Its totient is φ = 7372842656256.

The previous prime is 22121012011097. The next prime is 22121012011139. The reversal of 22121012011104 is 40111021012122.

22121012011104 is a `hidden beast` number, since 221 + 210 + 120 + 1 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6285054 + ... + 9151170.

It is an arithmetic number, because the mean of its divisors is an integer number (672154828065).

Almost surely, 2^{22121012011104} is an apocalyptic number.

22121012011104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22121012011104 is an abundant number, since it is smaller than the sum of its proper divisors (42405851483136).

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

22121012011104 is a wasteful number, since it uses less digits than its factorization.

22121012011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875069 (or 2875055 counting only the distinct ones).

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

Adding to 22121012011104 its reverse (40111021012122), we get a palindrome (62232033023226).

The spelling of 22121012011104 in words is "twenty-two trillion, one hundred twenty-one billion, twelve million, eleven thousand, one hundred four".