21103111130112 has 264 divisors, whose sum is σ = 66645310090320. Its totient is φ = 6378430955520.

The previous prime is 21103111130099. The next prime is 21103111130113.

21103111130112 is a `hidden beast` number, since 2 + 110 + 311 + 1 + 130 + 112 = 666.

21103111130112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21103111130113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39167698 + ... + 39702830.

Almost surely, 2^{21103111130112} is an apocalyptic number.

21103111130112 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 21103111130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33322655045160).

21103111130112 is an abundant number, since it is smaller than the sum of its proper divisors (45542198960208).

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

21103111130112 is a wasteful number, since it uses less digits than its factorization.

21103111130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535559 (or 535538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 2110311 and 1130112, that added together give a palindrome (3240423).

The spelling of 21103111130112 in words is "twenty-one trillion, one hundred three billion, one hundred eleven million, one hundred thirty thousand, one hundred twelve".