21100111011021 has 96 divisors (see below), whose sum is σ = 33940544901120. Its totient is φ = 11613765139200.

The previous prime is 21100111011019. The next prime is 21100111011041. The reversal of 21100111011021 is 12011011100112.

It is not a de Polignac number, because 21100111011021 - 2¹ = 21100111011019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100111010988 and 21100111011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100111011041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 902898625 + ... + 902921993.

It is an arithmetic number, because the mean of its divisors is an integer number (353547342720).

Almost surely, 2^{21100111011021} is an apocalyptic number.

21100111011021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21100111011021 is a deficient number, since it is larger than the sum of its proper divisors (12840433890099).

21100111011021 is a wasteful number, since it uses less digits than its factorization.

21100111011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24335 (or 24328 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21100111011021 its reverse (12011011100112), we get a palindrome (33111122111133).

The spelling of 21100111011021 in words is "twenty-one trillion, one hundred billion, one hundred eleven million, eleven thousand, twenty-one".