100120001121220 has 48 divisors (see below), whose sum is σ = 222769277907120. Its totient is φ = 37666921734144.

The previous prime is 100120001121209. The next prime is 100120001121221. The reversal of 100120001121220 is 22121100021001.

It can be written as a sum of positive squares in 8 ways, for example, as 593519241604 + 99526481879616 = 770402^2 + 9976296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100120001121220.

It is not an unprimeable number, because it can be changed into a prime (100120001121221) 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 15 ways as a sum of consecutive naturals, for example, 98375739 + ... + 99388258.

It is an arithmetic number, because the mean of its divisors is an integer number (4641026623065).

Almost surely, 2^{100120001121220} is an apocalyptic number.

100120001121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120001121220 is an abundant number, since it is smaller than the sum of its proper divisors (122649276785900).

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

100120001121220 is a wasteful number, since it uses less digits than its factorization.

100120001121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197765512 (or 197765510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100120001121220 its reverse (22121100021001), we get a palindrome (122241101142221).

The spelling of 100120001121220 in words is "one hundred trillion, one hundred twenty billion, one million, one hundred twenty-one thousand, two hundred twenty".