21100020100 has 36 divisors (see below), whose sum is σ = 47365913700. Its totient is φ = 8148972160.

The previous prime is 21100020037. The next prime is 21100020107. The reversal of 21100020100 is 102000112.

It can be written as a sum of positive squares in 6 ways, for example, as 4722163524 + 16377856576 = 68718^2 + 127976^2 .

It is not an unprimeable number, because it can be changed into a prime (21100020107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3635035 + ... + 3640834.

It is an arithmetic number, because the mean of its divisors is an integer number (1315719825).

Almost surely, 2^21100020100 is an apocalyptic number.

21100020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100020100 is an abundant number, since it is smaller than the sum of its proper divisors (26265893600).

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

21100020100 is a wasteful number, since it uses less digits than its factorization.

21100020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275912 (or 7275905 counting only the distinct ones).

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

Adding to 21100020100 its reverse (102000112), we get a palindrome (21202020212).

The spelling of 21100020100 in words is "twenty-one billion, one hundred million, twenty thousand, one hundred".