100435345413412 has 24 divisors (see below), whose sum is σ = 175927316919480. Its totient is φ = 50170407598080.

The previous prime is 100435345413373. The next prime is 100435345413451. The reversal of 100435345413412 is 214314543534001.

It is an interprime number because it is at equal distance from previous prime (100435345413373) and next prime (100435345413451).

It can be written as a sum of positive squares in 4 ways, for example, as 51586065334336 + 48849280079076 = 7182344^2 + 6989226^2 .

It is a super-2 number, since 2×100435345413412² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39607962 + ... + 42067342.

It is an arithmetic number, because the mean of its divisors is an integer number (7330304871645).

Almost surely, 2^{100435345413412} is an apocalyptic number.

It is an amenable number.

100435345413412 is a deficient number, since it is larger than the sum of its proper divisors (75491971506068).

100435345413412 is a wasteful number, since it uses less digits than its factorization.

100435345413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468991 (or 2468989 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 100435345413412 its reverse (214314543534001), we get a palindrome (314749888947413).

The spelling of 100435345413412 in words is "one hundred trillion, four hundred thirty-five billion, three hundred forty-five million, four hundred thirteen thousand, four hundred twelve".