100012221120000 has 3200 divisors, whose sum is σ = 419483954165760. Its totient is φ = 20664483840000.

The previous prime is 100012221119983. The next prime is 100012221120017. The reversal of 100012221120000 is 21122210001.

It is an interprime number because it is at equal distance from previous prime (100012221119983) and next prime (100012221120017).

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 237558719790 + ... + 237558720210.

Almost surely, 2^{100012221120000} is an apocalyptic number.

100012221120000 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 100012221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209741977082880).

100012221120000 is an abundant number, since it is smaller than the sum of its proper divisors (319471733045760).

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

100012221120000 is an equidigital number, since it uses as much as digits as its factorization.

100012221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012221120000 its reverse (21122210001), we get a palindrome (100033343330001).

The spelling of 100012221120000 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, one hundred twenty thousand".