21102210112101 has 32 divisors (see below), whose sum is σ = 30037604014080. Its totient is φ = 13138543051200.

The previous prime is 21102210112097. The next prime is 21102210112121. The reversal of 21102210112101 is 10121101220112.

It is a happy number.

It is not a de Polignac number, because 21102210112101 - 2² = 21102210112097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102210112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36871536 + ... + 37439478.

It is an arithmetic number, because the mean of its divisors is an integer number (938675125440).

Almost surely, 2^{21102210112101} is an apocalyptic number.

It is an amenable number.

21102210112101 is a deficient number, since it is larger than the sum of its proper divisors (8935393901979).

21102210112101 is a wasteful number, since it uses less digits than its factorization.

21102210112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577217.

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

Adding to 21102210112101 its reverse (10121101220112), we get a palindrome (31223311332213).

The spelling of 21102210112101 in words is "twenty-one trillion, one hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred one".