10121220111012 has 48 divisors (see below), whose sum is σ = 24165750588672. Its totient is φ = 3295232307360.

The previous prime is 10121220111001. The next prime is 10121220111029. The reversal of 10121220111012 is 21011102212101.

It is a happy number.

10121220111012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10121220110982 and 10121220111000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55622203 + ... + 55803869.

It is an arithmetic number, because the mean of its divisors is an integer number (503453137264).

Almost surely, 2^{10121220111012} is an apocalyptic number.

10121220111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121220111012 is an abundant number, since it is smaller than the sum of its proper divisors (14044530477660).

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

10121220111012 is a wasteful number, since it uses less digits than its factorization.

10121220111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289688 (or 289686 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10121220111012 its reverse (21011102212101), we get a palindrome (31132322323113).

The spelling of 10121220111012 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, twelve".