21415221100 has 288 divisors, whose sum is σ = 62296012800. Its totient is φ = 6197990400.

The previous prime is 21415221059. The next prime is 21415221109. The reversal of 21415221100 is 112251412.

It is a super-2 number, since 2×21415221100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (21415221109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5011965 + ... + 5016235.

It is an arithmetic number, because the mean of its divisors is an integer number (216305600).

Almost surely, 2^21415221100 is an apocalyptic number.

21415221100 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 21415221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31148006400).

21415221100 is an abundant number, since it is smaller than the sum of its proper divisors (40880791700).

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

21415221100 is a wasteful number, since it uses less digits than its factorization.

21415221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 21415221100 its reverse (112251412), we get a palindrome (21527472512).

The spelling of 21415221100 in words is "twenty-one billion, four hundred fifteen million, two hundred twenty-one thousand, one hundred".