21176068100 has 144 divisors (see below), whose sum is σ = 53997377280. Its totient is φ = 7125148800.

The previous prime is 21176068097. The next prime is 21176068103. The reversal of 21176068100 is 186067112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21176068097) and next prime (21176068103).

It is a super-2 number, since 2×21176068100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21176068103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886919 + ... + 910481.

Almost surely, 2^21176068100 is an apocalyptic number.

21176068100 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 21176068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998688640).

21176068100 is an abundant number, since it is smaller than the sum of its proper divisors (32821309180).

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

21176068100 is a wasteful number, since it uses less digits than its factorization.

21176068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23650 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 21176068100 in words is "twenty-one billion, one hundred seventy-six million, sixty-eight thousand, one hundred".