21112001000 has 64 divisors (see below), whose sum is σ = 49427848080. Its totient is φ = 8440396800.

The previous prime is 21112000967. The next prime is 21112001033. The reversal of 21112001000 is 10021112.

It is an interprime number because it is at equal distance from previous prime (21112000967) and next prime (21112001033).

It can be written as a sum of positive squares in 8 ways, for example, as 5335133764 + 15776867236 = 73042^2 + 125606^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 2468732 + ... + 2477268.

Almost surely, 2^21112001000 is an apocalyptic number.

21112001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112001000 is an abundant number, since it is smaller than the sum of its proper divisors (28315847080).

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

21112001000 is a wasteful number, since it uses less digits than its factorization.

21112001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21112001000 its reverse (10021112), we get a palindrome (21122022112).

The spelling of 21112001000 in words is "twenty-one billion, one hundred twelve million, one thousand".