1220122120100 has 144 divisors (see below), whose sum is σ = 2935728257616. Its totient is φ = 437283840000.

The previous prime is 1220122120079. The next prime is 1220122120117. The reversal of 1220122120100 is 10212210221.

It can be written as a sum of positive squares in 24 ways, for example, as 1042326651136 + 177795468964 = 1020944^2 + 421658^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10442000 + ... + 10558200.

It is an arithmetic number, because the mean of its divisors is an integer number (20387001789).

Almost surely, 2^{1220122120100} is an apocalyptic number.

1220122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467864128808).

1220122120100 is an abundant number, since it is smaller than the sum of its proper divisors (1715606137516).

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

1220122120100 is a wasteful number, since it uses less digits than its factorization.

1220122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116466 (or 116459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220122120100 its reverse (10212210221), we get a palindrome (1230334330321).

The spelling of 1220122120100 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".