100116655701200 has 60 divisors (see below), whose sum is σ = 241466180999340. Its totient is φ = 39890838650880.

The previous prime is 100116655701197. The next prime is 100116655701203. The reversal of 100116655701200 is 2107556611001.

It is an interprime number because it is at equal distance from previous prime (100116655701197) and next prime (100116655701203).

It can be written as a sum of positive squares in 6 ways, for example, as 2098893947536 + 98017761753664 = 1448756^2 + 9900392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116655701203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486845915 + ... + 487051514.

It is an arithmetic number, because the mean of its divisors is an integer number (4024436349989).

Almost surely, 2^{100116655701200} is an apocalyptic number.

100116655701200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100116655701200 is an abundant number, since it is smaller than the sum of its proper divisors (141349525298140).

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

100116655701200 is a wasteful number, since it uses less digits than its factorization.

100116655701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973897704 (or 973897693 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 100116655701200 in words is "one hundred trillion, one hundred sixteen billion, six hundred fifty-five million, seven hundred one thousand, two hundred".