21110100101112 has 128 divisors (see below), whose sum is σ = 59153357053440. Its totient is φ = 6221547118080.

The previous prime is 21110100101011. The next prime is 21110100101131.

21110100101112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23361213 + ... + 24248019.

It is an arithmetic number, because the mean of its divisors is an integer number (462135601980).

Almost surely, 2^{21110100101112} is an apocalyptic number.

21110100101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110100101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29576678526720).

21110100101112 is an abundant number, since it is smaller than the sum of its proper divisors (38043256952328).

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

21110100101112 is a wasteful number, since it uses less digits than its factorization.

21110100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889301 (or 889297 counting only the distinct ones).

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

It can be divided in two parts, 21110100 and 101112, that added together give a palindrome (21211212).

The spelling of 21110100101112 in words is "twenty-one trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred twelve".