21001000100 has 18 divisors (see below), whose sum is σ = 45572170434. Its totient is φ = 8400400000.

The previous prime is 21001000079. The next prime is 21001000129. The reversal of 21001000100 is 100010012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1107025984 + 19893974116 = 33272^2 + 141046^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105004901 + ... + 105005100.

Almost surely, 2^21001000100 is an apocalyptic number.

21001000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001000100 is an abundant number, since it is smaller than the sum of its proper divisors (24571170334).

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

21001000100 is a wasteful number, since it uses less digits than its factorization.

21001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210010015 (or 210010008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 21001000100 its reverse (100010012), we get a palindrome (21101010112).

The spelling of 21001000100 in words is "twenty-one billion, one million, one hundred", and thus it is an aban number.