10112211111220 has 48 divisors (see below), whose sum is σ = 21318602226768. Its totient is φ = 4029113180160.

The previous prime is 10112211111169. The next prime is 10112211111221. The reversal of 10112211111220 is 2211111221101.

It can be written as a sum of positive squares in 8 ways, for example, as 310565456656 + 9801645654564 = 557284^2 + 3130758^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10112211111194 and 10112211111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112211111221) 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, 4369534 + ... + 6270346.

It is an arithmetic number, because the mean of its divisors is an integer number (444137546391).

Almost surely, 2^{10112211111220} is an apocalyptic number.

10112211111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112211111220 is an abundant number, since it is smaller than the sum of its proper divisors (11206391115548).

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

10112211111220 is a wasteful number, since it uses less digits than its factorization.

10112211111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901860 (or 1901858 counting only the distinct ones).

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

Adding to 10112211111220 its reverse (2211111221101), we get a palindrome (12323322332321).

The spelling of 10112211111220 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".