210001102000100 has 36 divisors (see below), whose sum is σ = 456597681021300. Its totient is φ = 83835410444160.

The previous prime is 210001102000061. The next prime is 210001102000127. The reversal of 210001102000100 is 1000201100012.

It can be written as a sum of positive squares in 6 ways, for example, as 24325649866816 + 185675452133284 = 4932104^2 + 13626278^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2062828295 + ... + 2062930094.

Almost surely, 2^{210001102000100} is an apocalyptic number.

210001102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210001102000100 is an abundant number, since it is smaller than the sum of its proper divisors (246596579021200).

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

210001102000100 is a wasteful number, since it uses less digits than its factorization.

210001102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125758912 (or 4125758905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210001102000100 its reverse (1000201100012), we get a palindrome (211001303100112).

The spelling of 210001102000100 in words is "two hundred ten trillion, one billion, one hundred two million, one hundred", and thus it is an aban number.