1010112121220 has 48 divisors (see below), whose sum is σ = 2166526414080. Its totient is φ = 395419256064.

The previous prime is 1010112121217. The next prime is 1010112121223. The reversal of 1010112121220 is 221212110101.

It is an interprime number because it is at equal distance from previous prime (1010112121217) and next prime (1010112121223).

It is a junction number, because it is equal to n+sod(n) for n = 1010112121195 and 1010112121204.

It is not an unprimeable number, because it can be changed into a prime (1010112121223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16567151 + ... + 16628009.

It is an arithmetic number, because the mean of its divisors is an integer number (45135966960).

Almost surely, 2^{1010112121220} is an apocalyptic number.

1010112121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112121220 is an abundant number, since it is smaller than the sum of its proper divisors (1156414292860).

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

1010112121220 is a wasteful number, since it uses less digits than its factorization.

1010112121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78572 (or 78570 counting only the distinct ones).

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

Adding to 1010112121220 its reverse (221212110101), we get a palindrome (1231324231321).

The spelling of 1010112121220 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".