10121120122100 has 36 divisors (see below), whose sum is σ = 23652279180684. Its totient is φ = 3737028967680.

The previous prime is 10121120122073. The next prime is 10121120122159. The reversal of 10121120122100 is 122102112101.

It can be written as a sum of positive squares in 6 ways, for example, as 3547301031184 + 6573819090916 = 1883428^2 + 2563946^2 .

It is a super-3 number, since 3×10121120122100³ (a number of 40 digits) contains 333 as substring.

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, 3892737209 + ... + 3892739808.

It is an arithmetic number, because the mean of its divisors is an integer number (657007755019).

Almost surely, 2^{10121120122100} is an apocalyptic number.

10121120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120122100 is an abundant number, since it is smaller than the sum of its proper divisors (13531159058584).

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

10121120122100 is a wasteful number, since it uses less digits than its factorization.

10121120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785477044 (or 7785477037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121120122100 its reverse (122102112101), we get a palindrome (10243222234201).

The spelling of 10121120122100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".