21101122110114 has 12 divisors (see below), whose sum is σ = 45719097905286. Its totient is φ = 7033707370032.

The previous prime is 21101122110067. The next prime is 21101122110119. The reversal of 21101122110114 is 41101122110112.

It can be written as a sum of positive squares in only one way, i.e., 16111112238225 + 4990009871889 = 4013865^2 + 2233833^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1172284561673 = 21101122110114 / (2 + 1 + 1 + 0 + 1 + 1 + 2 + 2 + 1 + 1 + 0 + 1 + 1 + 4).

It is not an unprimeable number, because it can be changed into a prime (21101122110119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586142280819 + ... + 586142280854.

Almost surely, 2^{21101122110114} is an apocalyptic number.

21101122110114 is an abundant number, since it is smaller than the sum of its proper divisors (24617975795172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21101122110114 is a wasteful number, since it uses less digits than its factorization.

21101122110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172284561681 (or 1172284561678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21101122110114 its reverse (41101122110112), we get a palindrome (62202244220226).

The spelling of 21101122110114 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred fourteen".