22121102012193 has 12 divisors (see below), whose sum is σ = 31978533725268. Its totient is φ = 14735479425120.

The previous prime is 22121102012033. The next prime is 22121102012231. The reversal of 22121102012193 is 39121020112122.

22121102012193 is a `hidden beast` number, since 221 + 21 + 1 + 0 + 201 + 219 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19903170922209 + 2217931089984 = 4461297^2 + 1489272^2 .

It is not a de Polignac number, because 22121102012193 - 2⁹ = 22121102011681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121102012293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993481278 + ... + 993503543.

It is an arithmetic number, because the mean of its divisors is an integer number (2664877810439).

Almost surely, 2^{22121102012193} is an apocalyptic number.

It is an amenable number.

22121102012193 is a deficient number, since it is larger than the sum of its proper divisors (9857431713075).

22121102012193 is a wasteful number, since it uses less digits than its factorization.

22121102012193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986986064 (or 1986986061 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 22121102012193 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, one hundred ninety-three".