10111121110220 has 48 divisors (see below), whose sum is σ = 22869147480480. Its totient is φ = 3732935686656.

The previous prime is 10111121110201. The next prime is 10111121110229. The reversal of 10111121110220 is 2201112111101.

It is a junction number, because it is equal to n+sod(n) for n = 10111121110195 and 10111121110204.

It is not an unprimeable number, because it can be changed into a prime (10111121110229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338336 + ... + 4509624.

It is an arithmetic number, because the mean of its divisors is an integer number (476440572510).

Almost surely, 2^{10111121110220} is an apocalyptic number.

10111121110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111121110220 is an abundant number, since it is smaller than the sum of its proper divisors (12758026370260).

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

10111121110220 is a wasteful number, since it uses less digits than its factorization.

10111121110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180634 (or 4180632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111121110220 its reverse (2201112111101), we get a palindrome (12312233221321).

The spelling of 10111121110220 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty".