21100010112 has 320 divisors, whose sum is σ = 68986843200. Its totient is φ = 6372089856.

The previous prime is 21100010083. The next prime is 21100010117. The reversal of 21100010112 is 21101000112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21100010094 and 21100010103.

It is not an unprimeable number, because it can be changed into a prime (21100010117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4528488 + ... + 4533144.

It is an arithmetic number, because the mean of its divisors is an integer number (215583885).

Almost surely, 2^21100010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34493421600).

21100010112 is an abundant number, since it is smaller than the sum of its proper divisors (47886833088).

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

21100010112 is a wasteful number, since it uses less digits than its factorization.

21100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21100010112 its reverse (21101000112), we get a palindrome (42201010224).

The spelling of 21100010112 in words is "twenty-one billion, one hundred million, ten thousand, one hundred twelve".