100111413121220 has 24 divisors (see below), whose sum is σ = 210302649149208. Its totient is φ = 40031483040000.

The previous prime is 100111413121207. The next prime is 100111413121253. The reversal of 100111413121220 is 22121314111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19578306368644 + 80533106752576 = 4424738^2 + 8974024^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100111413121192 and 100111413121201.

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 7 ways as a sum of consecutive naturals, for example, 817575281 + ... + 817697720.

It is an arithmetic number, because the mean of its divisors is an integer number (8762610381217).

Almost surely, 2^{100111413121220} is an apocalyptic number.

100111413121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111413121220 is an abundant number, since it is smaller than the sum of its proper divisors (110191236027988).

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

100111413121220 is a wasteful number, since it uses less digits than its factorization.

100111413121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635276071 (or 1635276069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 100111413121220 its reverse (22121314111001), we get a palindrome (122232727232221).

The spelling of 100111413121220 in words is "one hundred trillion, one hundred eleven billion, four hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".