10121010211120 has 20 divisors (see below), whose sum is σ = 23531348741040. Its totient is φ = 4048404084416.

The previous prime is 10121010211111. The next prime is 10121010211153. The reversal of 10121010211120 is 2111201012101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 10121010211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63256313740 + ... + 63256313899.

It is an arithmetic number, because the mean of its divisors is an integer number (1176567437052).

Almost surely, 2^{10121010211120} is an apocalyptic number.

10121010211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121010211120 is an abundant number, since it is smaller than the sum of its proper divisors (13410338529920).

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

10121010211120 is a wasteful number, since it uses less digits than its factorization.

10121010211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126512627652 (or 126512627646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121010211120 its reverse (2111201012101), we get a palindrome (12232211223221).

The spelling of 10121010211120 in words is "ten trillion, one hundred twenty-one billion, ten million, two hundred eleven thousand, one hundred twenty".