100065352401100 has 72 divisors (see below), whose sum is σ = 227016002545920. Its totient is φ = 38212669154880.

The previous prime is 100065352401059. The next prime is 100065352401121. The reversal of 100065352401100 is 1104253560001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40390480 + ... + 42796279.

It is an arithmetic number, because the mean of its divisors is an integer number (3153000035360).

Almost surely, 2^{100065352401100} is an apocalyptic number.

100065352401100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100065352401100 is an abundant number, since it is smaller than the sum of its proper divisors (126950650144820).

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

100065352401100 is a wasteful number, since it uses less digits than its factorization.

100065352401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83187319 (or 83187312 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 100065352401100 in words is "one hundred trillion, sixty-five billion, three hundred fifty-two million, four hundred one thousand, one hundred".