21101010112191 has 16 divisors (see below), whose sum is σ = 29615551001600. Its totient is φ = 13326909559488.

The previous prime is 21101010112123. The next prime is 21101010112207. The reversal of 21101010112191 is 19121101010112.

It is a happy number.

It is not a de Polignac number, because 21101010112191 - 2¹¹ = 21101010110143 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 (21101010112691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30012915 + ... + 30707931.

It is an arithmetic number, because the mean of its divisors is an integer number (1850971937600).

Almost surely, 2^{21101010112191} is an apocalyptic number.

21101010112191 is a deficient number, since it is larger than the sum of its proper divisors (8514540889409).

21101010112191 is a wasteful number, since it uses less digits than its factorization.

21101010112191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227678.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 21101010112191 in words is "twenty-one trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred ninety-one".