21100002100 has 18 divisors (see below), whose sum is σ = 45787004774. Its totient is φ = 8440000800.

The previous prime is 21100002083. The next prime is 21100002103. The reversal of 21100002100 is 120000112.

It can be written as a sum of positive squares in 3 ways, for example, as 84860944 + 21015141156 = 9212^2 + 144966^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105499911 + ... + 105500110.

Almost surely, 2^21100002100 is an apocalyptic number.

21100002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100002100 is an abundant number, since it is smaller than the sum of its proper divisors (24687002674).

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

21100002100 is a wasteful number, since it uses less digits than its factorization.

21100002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211000035 (or 211000028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21100002100 its reverse (120000112), we get a palindrome (21220002212).

The spelling of 21100002100 in words is "twenty-one billion, one hundred million, two thousand, one hundred".