21102200101101 has 32 divisors (see below), whose sum is σ = 32628196251648. Its totient is φ = 11881430326080.

The previous prime is 21102200101069. The next prime is 21102200101133. The reversal of 21102200101101 is 10110100220112.

It is an interprime number because it is at equal distance from previous prime (21102200101069) and next prime (21102200101133).

It is not a de Polignac number, because 21102200101101 - 2⁵ = 21102200101069 is a prime.

It is a super-3 number, since 3×21102200101101³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102200100101) 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, 1759570 + ... + 6730563.

It is an arithmetic number, because the mean of its divisors is an integer number (1019631132864).

Almost surely, 2^{21102200101101} is an apocalyptic number.

21102200101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21102200101101 is a deficient number, since it is larger than the sum of its proper divisors (11525996150547).

21102200101101 is a wasteful number, since it uses less digits than its factorization.

21102200101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491881.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21102200101101 its reverse (10110100220112), we get a palindrome (31212300321213).

The spelling of 21102200101101 in words is "twenty-one trillion, one hundred two billion, two hundred million, one hundred one thousand, one hundred one".