21210101112101 has 8 divisors (see below), whose sum is σ = 23936164264800. Its totient is φ = 18617016649840.

The previous prime is 21210101112091. The next prime is 21210101112199. The reversal of 21210101112101 is 10121110101212.

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 21210101112101 - 2¹⁸ = 21210100849957 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 (21210101142101) 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, 33244672271 + ... + 33244672908.

It is an arithmetic number, because the mean of its divisors is an integer number (2992020533100).

Almost surely, 2^{21210101112101} is an apocalyptic number.

It is an amenable number.

21210101112101 is a deficient number, since it is larger than the sum of its proper divisors (2726063152699).

21210101112101 is a wasteful number, since it uses less digits than its factorization.

21210101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66489345219.

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

Adding to 21210101112101 its reverse (10121110101212), we get a palindrome (31331211213313).

The spelling of 21210101112101 in words is "twenty-one trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred one".