21017100 has 144 divisors (see below), whose sum is σ = 69558048. Its totient is φ = 4853760.

The previous prime is 21017099. The next prime is 21017107. The reversal of 21017100 is 171012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21017107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66142 + ... + 66458.

It is an arithmetic number, because the mean of its divisors is an integer number (483042).

Almost surely, 2^21017100 is an apocalyptic number.

21017100 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 21017100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779024).

21017100 is an abundant number, since it is smaller than the sum of its proper divisors (48540948).

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

21017100 is a wasteful number, since it uses less digits than its factorization.

21017100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 21017100 is about 4584.4410782559. The cubic root of 21017100 is about 275.9672824061.

Adding to 21017100 its reverse (171012), we get a palindrome (21188112).

The spelling of 21017100 in words is "twenty-one million, seventeen thousand, one hundred".