100121120122120 has 16 divisors (see below), whose sum is σ = 225272520274860. Its totient is φ = 40048448048832.

The previous prime is 100121120122103. The next prime is 100121120122139. The reversal of 100121120122120 is 21221021121001.

It can be written as a sum of positive squares in 2 ways, for example, as 91351502608804 + 8769617513316 = 9557798^2 + 2961354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121120122094 and 100121120122103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251514001487 + ... + 1251514001566.

Almost surely, 2^{100121120122120} is an apocalyptic number.

100121120122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121120122120 is an abundant number, since it is smaller than the sum of its proper divisors (125151400152740).

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

100121120122120 is a wasteful number, since it uses less digits than its factorization.

100121120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503028003064 (or 2503028003060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100121120122120 its reverse (21221021121001), we get a palindrome (121342141243121).

The spelling of 100121120122120 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".