21000100410 has 96 divisors (see below), whose sum is σ = 55554415488. Its totient is φ = 5503006080.

The previous prime is 21000100403. The next prime is 21000100423. The reversal of 21000100410 is 1400100012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21000100392 and 21000100401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205724 + ... + 1223016.

It is an arithmetic number, because the mean of its divisors is an integer number (578691828).

Almost surely, 2^21000100410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777207744).

21000100410 is an abundant number, since it is smaller than the sum of its proper divisors (34554315078).

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

21000100410 is a wasteful number, since it uses less digits than its factorization.

21000100410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540 (or 17537 counting only the distinct ones).

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

Adding to 21000100410 its reverse (1400100012), we get a palindrome (22400200422).

The spelling of 21000100410 in words is "twenty-one billion, one hundred thousand, four hundred ten".