100281467661144 has 128 divisors (see below), whose sum is σ = 312568300154880. Its totient is φ = 26046910569600.

The previous prime is 100281467661139. The next prime is 100281467661169. The reversal of 100281467661144 is 441166764182001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410176299 + ... + 410420709.

It is an arithmetic number, because the mean of its divisors is an integer number (2441939844960).

Almost surely, 2^{100281467661144} is an apocalyptic number.

100281467661144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100281467661144 is an abundant number, since it is smaller than the sum of its proper divisors (212286832493736).

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

100281467661144 is a wasteful number, since it uses less digits than its factorization.

100281467661144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466461 (or 466457 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 100281467661144 in words is "one hundred trillion, two hundred eighty-one billion, four hundred sixty-seven million, six hundred sixty-one thousand, one hundred forty-four".