21065060100 has 144 divisors (see below), whose sum is σ = 70045516800. Its totient is φ = 4787886720.

The previous prime is 21065060099. The next prime is 21065060101. The reversal of 21065060100 is 106056012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21065060099) and next prime (21065060101).

It is a super-2 number, since 2×21065060100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21065060101) by changing a digit.

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, 347881 + ... + 403919.

It is an arithmetic number, because the mean of its divisors is an integer number (486427200).

Almost surely, 2^21065060100 is an apocalyptic number.

21065060100 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 21065060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35022758400).

21065060100 is an abundant number, since it is smaller than the sum of its proper divisors (48980456700).

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

21065060100 is a wasteful number, since it uses less digits than its factorization.

21065060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56242 (or 56235 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 21065060100 in words is "twenty-one billion, sixty-five million, sixty thousand, one hundred".