10200011100100 has 36 divisors (see below), whose sum is σ = 22142135351700. Its totient is φ = 4078509276160.

The previous prime is 10200011100091. The next prime is 10200011100121. The reversal of 10200011100100 is 100111000201.

It can be written as a sum of positive squares in 6 ways, for example, as 48344575876 + 10151666524224 = 219874^2 + 3186168^2 .

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 11 ways as a sum of consecutive naturals, for example, 18415285 + ... + 18961084.

It is an arithmetic number, because the mean of its divisors is an integer number (615059315325).

Almost surely, 2^{10200011100100} is an apocalyptic number.

10200011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200011100100 is an abundant number, since it is smaller than the sum of its proper divisors (11942124251600).

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

10200011100100 is a wasteful number, since it uses less digits than its factorization.

10200011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37379112 (or 37379105 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10200011100100 its reverse (100111000201), we get a palindrome (10300122100301).

The spelling of 10200011100100 in words is "ten trillion, two hundred billion, eleven million, one hundred thousand, one hundred".