21101122101201 has 8 divisors (see below), whose sum is σ = 28146858049440. Its totient is φ = 14061400443552.

The previous prime is 21101122101179. The next prime is 21101122101203. The reversal of 21101122101201 is 10210122110112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21101122101201 - 2²⁷ = 21100987883473 is a prime.

It is a super-3 number, since 3×21101122101201³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21101122101203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503564460 + ... + 1503578493.

It is an arithmetic number, because the mean of its divisors is an integer number (3518357256180).

Almost surely, 2^{21101122101201} is an apocalyptic number.

It is an amenable number.

21101122101201 is a deficient number, since it is larger than the sum of its proper divisors (7045735948239).

21101122101201 is a wasteful number, since it uses less digits than its factorization.

21101122101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007145295.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21101122101201 its reverse (10210122110112), we get a palindrome (31311244211313).

The spelling of 21101122101201 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred one".