100348576121680 has 20 divisors (see below), whose sum is σ = 233310439483092. Its totient is φ = 40139430448640.

The previous prime is 100348576121671. The next prime is 100348576121683. The reversal of 100348576121680 is 86121675843001.

It can be written as a sum of positive squares in 2 ways, for example, as 77072737275664 + 23275838846016 = 8779108^2 + 4824504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100348576121683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 627178600681 + ... + 627178600840.

Almost surely, 2^{100348576121680} is an apocalyptic number.

100348576121680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100348576121680 is an abundant number, since it is smaller than the sum of its proper divisors (132961863361412).

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

100348576121680 is a wasteful number, since it uses less digits than its factorization.

100348576121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254357201534 (or 1254357201528 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 100348576121680 in words is "one hundred trillion, three hundred forty-eight billion, five hundred seventy-six million, one hundred twenty-one thousand, six hundred eighty".