10211002100 has 36 divisors (see below), whose sum is σ = 23862329484. Its totient is φ = 3770215680.

The previous prime is 10211002091. The next prime is 10211002121. The reversal of 10211002100 is 120011201.

10211002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 164147344 + 10046854756 = 12812^2 + 100234^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3926009 + ... + 3928608.

Almost surely, 2^10211002100 is an apocalyptic number.

10211002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211002100 is an abundant number, since it is smaller than the sum of its proper divisors (13651327384).

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

10211002100 is a wasteful number, since it uses less digits than its factorization.

10211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854644 (or 7854637 counting only the distinct ones).

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

Adding to 10211002100 its reverse (120011201), we get a palindrome (10331013301).

The spelling of 10211002100 in words is "ten billion, two hundred eleven million, two thousand, one hundred".