10221101122199 has 32 divisors (see below), whose sum is σ = 11322612967680. Its totient is φ = 9149114707200.

The previous prime is 10221101122187. The next prime is 10221101122201. The reversal of 10221101122199 is 99122110112201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221101122199 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221101122139) 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 31 ways as a sum of consecutive naturals, for example, 337237004 + ... + 337267310.

It is an arithmetic number, because the mean of its divisors is an integer number (353831655240).

Almost surely, 2^{10221101122199} is an apocalyptic number.

10221101122199 is a deficient number, since it is larger than the sum of its proper divisors (1101511845481).

10221101122199 is a wasteful number, since it uses less digits than its factorization.

10221101122199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31631.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 10221101122199 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred ninety-nine".