21111212100101 has 16 divisors (see below), whose sum is σ = 21626580528000. Its totient is φ = 20601268932288.

The previous prime is 21111212100031. The next prime is 21111212100107. The reversal of 21111212100101 is 10100121211112.

It is a cyclic number.

It is not a de Polignac number, because 21111212100101 - 2³⁰ = 21110138358277 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 (21111212100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13379951 + ... + 14874323.

It is an arithmetic number, because the mean of its divisors is an integer number (1351661283000).

Almost surely, 2^{21111212100101} is an apocalyptic number.

It is an amenable number.

21111212100101 is a deficient number, since it is larger than the sum of its proper divisors (515368427899).

21111212100101 is a wasteful number, since it uses less digits than its factorization.

21111212100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496188.

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

Adding to 21111212100101 its reverse (10100121211112), we get a palindrome (31211333311213).

It can be divided in two parts, 21111 and 212100101, that added together give a palindrome (212121212).

The spelling of 21111212100101 in words is "twenty-one trillion, one hundred eleven billion, two hundred twelve million, one hundred thousand, one hundred one".