21100014000 has 800 divisors, whose sum is σ = 84346726464. Its totient is φ = 5051289600.

The previous prime is 21100013959. The next prime is 21100014029. The reversal of 21100014000 is 41000112.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90557884 + ... + 90558116.

Almost surely, 2^21100014000 is an apocalyptic number.

21100014000 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 21100014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42173363232).

21100014000 is an abundant number, since it is smaller than the sum of its proper divisors (63246712464).

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

21100014000 is a wasteful number, since it uses less digits than its factorization.

21100014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100014000 its reverse (41000112), we get a palindrome (21141014112).

The spelling of 21100014000 in words is "twenty-one billion, one hundred million, fourteen thousand".