12202101122193 has 6 divisors (see below), whose sum is σ = 17625257176514. Its totient is φ = 8134734081456.

The previous prime is 12202101122149. The next prime is 12202101122209. The reversal of 12202101122193 is 39122110120221.

12202101122193 is a `hidden beast` number, since 1 + 220 + 210 + 1 + 1 + 221 + 9 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12076931635344 + 125169486849 = 3475188^2 + 353793^2 .

It is not a de Polignac number, because 12202101122193 - 2¹⁷ = 12202100991121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12202101122143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677894506780 + ... + 677894506797.

Almost surely, 2^{12202101122193} is an apocalyptic number.

It is an amenable number.

12202101122193 is a deficient number, since it is larger than the sum of its proper divisors (5423156054321).

12202101122193 is a wasteful number, since it uses less digits than its factorization.

12202101122193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355789013583 (or 1355789013580 counting only the distinct ones).

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

The spelling of 12202101122193 in words is "twelve trillion, two hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred ninety-three".