21102210101 has 12 divisors (see below), whose sum is σ = 24549871500. Its totient is φ = 18085838400.

The previous prime is 21102210067. The next prime is 21102210113. The reversal of 21102210101 is 10101220112.

It can be written as a sum of positive squares in 2 ways, for example, as 17722531876 + 3379678225 = 133126^2 + 58135^2 .

It is not a de Polignac number, because 21102210101 - 2²² = 21098015797 is a prime.

It is a super-2 number, since 2×21102210101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840275 + ... + 865023.

It is an arithmetic number, because the mean of its divisors is an integer number (2045822625).

Almost surely, 2^21102210101 is an apocalyptic number.

It is an amenable number.

21102210101 is a deficient number, since it is larger than the sum of its proper divisors (3447661399).

21102210101 is a wasteful number, since it uses less digits than its factorization.

21102210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42164 (or 42157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21102210101 its reverse (10101220112), we get a palindrome (31203430213).

The spelling of 21102210101 in words is "twenty-one billion, one hundred two million, two hundred ten thousand, one hundred one".