100355442315121 has 12 divisors (see below), whose sum is σ = 116756999913780. Its totient is φ = 86006427491040.

The previous prime is 100355442315109. The next prime is 100355442315137. The reversal of 100355442315121 is 121513244553001.

It can be written as a sum of positive squares in 2 ways, for example, as 3245474310400 + 97109968004721 = 1801520^2 + 9854439^2 .

It is not a de Polignac number, because 100355442315121 - 2²⁵ = 100355408760689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100355442315221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148744090 + ... + 149417251.

It is an arithmetic number, because the mean of its divisors is an integer number (9729749992815).

Almost surely, 2^{100355442315121} is an apocalyptic number.

It is an amenable number.

100355442315121 is a deficient number, since it is larger than the sum of its proper divisors (16401557598659).

100355442315121 is an equidigital number, since it uses as much as digits as its factorization.

100355442315121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298168224 (or 298168217 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 100355442315121 its reverse (121513244553001), we get a palindrome (221868686868122).

The spelling of 100355442315121 in words is "one hundred trillion, three hundred fifty-five billion, four hundred forty-two million, three hundred fifteen thousand, one hundred twenty-one".