21201011100101 has 8 divisors (see below), whose sum is σ = 25504975759680. Its totient is φ = 17215858637568.

The previous prime is 21201011100079. The next prime is 21201011100121. The reversal of 21201011100101 is 10100111010212.

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 21201011100101 - 2¹⁰ = 21201011099077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201011100121) 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, 79703049116 + ... + 79703049381.

It is an arithmetic number, because the mean of its divisors is an integer number (3188121969960).

Almost surely, 2^{21201011100101} is an apocalyptic number.

It is an amenable number.

21201011100101 is a deficient number, since it is larger than the sum of its proper divisors (4303964659579).

21201011100101 is a wasteful number, since it uses less digits than its factorization.

21201011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159406098523.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21201011100101 its reverse (10100111010212), we get a palindrome (31301122110313).

The spelling of 21201011100101 in words is "twenty-one trillion, two hundred one billion, eleven million, one hundred thousand, one hundred one".