10122221111220 has 72 divisors (see below), whose sum is σ = 30710717692200. Its totient is φ = 2698674612480.

The previous prime is 10122221111209. The next prime is 10122221111269. The reversal of 10122221111220 is 2211112222101.

10122221111220 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 211 + 11 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2424959043984 + 7697262067236 = 1557228^2 + 2774394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10122221111193 and 10122221111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5252895 + ... + 6916454.

It is an arithmetic number, because the mean of its divisors is an integer number (426537745725).

Almost surely, 2^{10122221111220} is an apocalyptic number.

10122221111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122221111220 is an abundant number, since it is smaller than the sum of its proper divisors (20588496580980).

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

10122221111220 is a wasteful number, since it uses less digits than its factorization.

10122221111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173985 (or 12173980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122221111220 its reverse (2211112222101), we get a palindrome (12333333333321).

The spelling of 10122221111220 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty".