100241406541000 has 64 divisors (see below), whose sum is σ = 234977133222000. Its totient is φ = 40026093913600.

The previous prime is 100241406540901. The next prime is 100241406541123. The reversal of 100241406541000 is 145604142001.

It can be written as a sum of positive squares in 8 ways, for example, as 800742204964 + 99440664336036 = 894842^2 + 9971994^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100241406541000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87516595 + ... + 88654594.

Almost surely, 2^{100241406541000} is an apocalyptic number.

100241406541000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100241406541000 is an abundant number, since it is smaller than the sum of its proper divisors (134735726681000).

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

100241406541000 is a wasteful number, since it uses less digits than its factorization.

100241406541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176171779 (or 176171765 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 100241406541000 in words is "one hundred trillion, two hundred forty-one billion, four hundred six million, five hundred forty-one thousand".