100045151122135 has 32 divisors (see below), whose sum is σ = 129479990840640. Its totient is φ = 74054997639168.

The previous prime is 100045151122121. The next prime is 100045151122159. The reversal of 100045151122135 is 531221151540001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100045151122135 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100045151122097 and 100045151122106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151044394 + ... + 151705303.

It is an arithmetic number, because the mean of its divisors is an integer number (4046249713770).

Almost surely, 2^{100045151122135} is an apocalyptic number.

100045151122135 is a deficient number, since it is larger than the sum of its proper divisors (29434839718505).

100045151122135 is a wasteful number, since it uses less digits than its factorization.

100045151122135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302749827.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 100045151122135 in words is "one hundred trillion, forty-five billion, one hundred fifty-one million, one hundred twenty-two thousand, one hundred thirty-five".