21112101000 has 192 divisors, whose sum is σ = 72016916400. Its totient is φ = 5577984000.

The previous prime is 21112100993. The next prime is 21112101053. The reversal of 21112101000 is 10121112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1720424484 + 19391676516 = 41478^2 + 139254^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970240 + ... + 991760.

Almost surely, 2^21112101000 is an apocalyptic number.

21112101000 is a gapful number since it is divisible by the number (20) 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 21112101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36008458200).

21112101000 is an abundant number, since it is smaller than the sum of its proper divisors (50904815400).

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

21112101000 is a wasteful number, since it uses less digits than its factorization.

21112101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21657 (or 21640 counting only the distinct ones).

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

Adding to 21112101000 its reverse (10121112), we get a palindrome (21122222112).

The spelling of 21112101000 in words is "twenty-one billion, one hundred twelve million, one hundred one thousand".