100000101221120 has 144 divisors (see below), whose sum is σ = 256677266573280. Its totient is φ = 37193516777472.

The previous prime is 100000101221089. The next prime is 100000101221131. The reversal of 100000101221120 is 21122101000001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25878215 + ... + 29490374.

It is an arithmetic number, because the mean of its divisors is an integer number (1782481017870).

Almost surely, 2^{100000101221120} is an apocalyptic number.

100000101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000101221120 is an abundant number, since it is smaller than the sum of its proper divisors (156677165352160).

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

100000101221120 is an equidigital number, since it uses as much as digits as its factorization.

100000101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55368710 (or 55368696 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100000101221120 its reverse (21122101000001), we get a palindrome (121122202221121).

The spelling of 100000101221120 in words is "one hundred trillion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".