21201010100101 has 16 divisors (see below), whose sum is σ = 23222241443520. Its totient is φ = 19235645210880.

The previous prime is 21201010100089. The next prime is 21201010100143. The reversal of 21201010100101 is 10100101010212.

It is a cyclic number.

It is not a de Polignac number, because 21201010100101 - 2²⁵ = 21200976545669 is a prime.

It is a super-2 number, since 2×21201010100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201010130101) 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, 3218266 + ... + 7263556.

It is an arithmetic number, because the mean of its divisors is an integer number (1451390090220).

Almost surely, 2^{21201010100101} is an apocalyptic number.

It is an amenable number.

21201010100101 is a deficient number, since it is larger than the sum of its proper divisors (2021231343419).

21201010100101 is a wasteful number, since it uses less digits than its factorization.

21201010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052196.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21201010100101 its reverse (10100101010212), we get a palindrome (31301111110313).

The spelling of 21201010100101 in words is "twenty-one trillion, two hundred one billion, ten million, one hundred thousand, one hundred one".