10121220110000 has 100 divisors (see below), whose sum is σ = 25349469010800. Its totient is φ = 3908884896000.

The previous prime is 10121220109951. The next prime is 10121220110009. The reversal of 10121220110000 is 1102212101.

10121220110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (10121220110009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17160380 + ... + 17740379.

It is an arithmetic number, because the mean of its divisors is an integer number (253494690108).

Almost surely, 2^{10121220110000} is an apocalyptic number.

10121220110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121220110000 is an abundant number, since it is smaller than the sum of its proper divisors (15228248900800).

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

10121220110000 is an equidigital number, since it uses as much as digits as its factorization.

10121220110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34900816 (or 34900795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121220110000 its reverse (1102212101), we get a palindrome (10122322322101).

The spelling of 10121220110000 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred ten thousand".