21101011001199 has 48 divisors (see below), whose sum is σ = 33382804160160. Its totient is φ = 12789339402240.

The previous prime is 21101011001179. The next prime is 21101011001209. The reversal of 21101011001199 is 99110011010112.

It is not a de Polignac number, because 21101011001199 - 2⁵ = 21101011001167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101011001179) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12621162 + ... + 14194919.

It is an arithmetic number, because the mean of its divisors is an integer number (695475086670).

Almost surely, 2^{21101011001199} is an apocalyptic number.

21101011001199 is a deficient number, since it is larger than the sum of its proper divisors (12281793158961).

21101011001199 is a wasteful number, since it uses less digits than its factorization.

21101011001199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26816280 (or 26816277 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 27.

The spelling of 21101011001199 in words is "twenty-one trillion, one hundred one billion, eleven million, one thousand, one hundred ninety-nine".