21121101101201 has 8 divisors (see below), whose sum is σ = 21255101665920. Its totient is φ = 20987278376688.

The previous prime is 21121101101179. The next prime is 21121101101203. The reversal of 21121101101201 is 10210110112112.

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

It is a cyclic number.

It is not a de Polignac number, because 21121101101201 - 2¹⁸ = 21121100839057 is a prime.

It is a super-2 number, since 2×21121101101201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21121101101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44221766 + ... + 44696831.

It is an arithmetic number, because the mean of its divisors is an integer number (2656887708240).

Almost surely, 2^{21121101101201} is an apocalyptic number.

It is an amenable number.

21121101101201 is a deficient number, since it is larger than the sum of its proper divisors (134000564719).

21121101101201 is a wasteful number, since it uses less digits than its factorization.

21121101101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88920103.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21121101101201 its reverse (10210110112112), we get a palindrome (31331211213313).

The spelling of 21121101101201 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, two hundred one".