1220222010100 has 72 divisors (see below), whose sum is σ = 2807269495128. Its totient is φ = 458782924800.

The previous prime is 1220222010089. The next prime is 1220222010103. The reversal of 1220222010100 is 10102220221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 582712382736 + 637509627364 = 763356^2 + 798442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220222010103) 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 23 ways as a sum of consecutive naturals, for example, 849820 + ... + 1778380.

It is an arithmetic number, because the mean of its divisors is an integer number (38989854099).

Almost surely, 2^{1220222010100} is an apocalyptic number.

1220222010100 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 1220222010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403634747564).

1220222010100 is an abundant number, since it is smaller than the sum of its proper divisors (1587047485028).

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

1220222010100 is a wasteful number, since it uses less digits than its factorization.

1220222010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929365 (or 929358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1220222010100 its reverse (10102220221), we get a palindrome (1230324230321).

The spelling of 1220222010100 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, ten thousand, one hundred".