10011120012100 has 36 divisors (see below), whose sum is σ = 22473238378500. Its totient is φ = 3866363589760.

The previous prime is 10011120012067. The next prime is 10011120012121. The reversal of 10011120012100 is 121002111001.

It can be written as a sum of positive squares in 6 ways, for example, as 158351468356 + 9852768543744 = 397934^2 + 3138912^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1726052275 + ... + 1726058074.

It is an arithmetic number, because the mean of its divisors is an integer number (624256621625).

Almost surely, 2^{10011120012100} is an apocalyptic number.

10011120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011120012100 is an abundant number, since it is smaller than the sum of its proper divisors (12462118366400).

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

10011120012100 is a wasteful number, since it uses less digits than its factorization.

10011120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452110392 (or 3452110385 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011120012100 its reverse (121002111001), we get a palindrome (10132122123101).

The spelling of 10011120012100 in words is "ten trillion, eleven billion, one hundred twenty million, twelve thousand, one hundred".