2102529000100 has 81 divisors (see below), whose sum is σ = 4620764920737. Its totient is φ = 830403326880.

The previous prime is 2102529000097. The next prime is 2102529000149. The reversal of 2102529000100 is 10009252012.

The square root of 2102529000100 is 1450010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 756910440036 + 1345618560064 = 870006^2 + 1160008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1203507427 + ... + 1203509173.

Almost surely, 2^{2102529000100} is an apocalyptic number.

2102529000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2102529000100 is the 1450010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102529000100

2102529000100 is an abundant number, since it is smaller than the sum of its proper divisors (2518235920637).

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

2102529000100 is an frugal number, since it uses more digits than its factorization.

2102529000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 2102529000100 in words is "two trillion, one hundred two billion, five hundred twenty-nine million, one hundred", and thus it is an aban number.