1220100110000 has 100 divisors (see below), whose sum is σ = 2987177391000. Its totient is φ = 482556096000.

The previous prime is 1220100109999. The next prime is 1220100110017. The reversal of 1220100110000 is 110010221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1220100110000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204551 + ... + 1575449.

It is an arithmetic number, because the mean of its divisors is an integer number (29871773910).

Almost surely, 2^{1220100110000} is an apocalyptic number.

1220100110000 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 1220100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493588695500).

1220100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1767077281000).

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

1220100110000 is an equidigital number, since it uses as much as digits as its factorization.

1220100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371016 (or 1370995 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1220100110000 its reverse (110010221), we get a palindrome (1220210120221).

The spelling of 1220100110000 in words is "one trillion, two hundred twenty billion, one hundred million, one hundred ten thousand".