100107016202099 has 16 divisors (see below), whose sum is σ = 101179446732000. Its totient is φ = 99035418983424.

The previous prime is 100107016202029. The next prime is 100107016202101. The reversal of 100107016202099 is 990202610701001.

It is a cyclic number.

It is not a de Polignac number, because 100107016202099 - 2¹² = 100107016198003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100107016202029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852115452 + ... + 2852150550.

It is an arithmetic number, because the mean of its divisors is an integer number (6323715420750).

Almost surely, 2^{100107016202099} is an apocalyptic number.

100107016202099 is a deficient number, since it is larger than the sum of its proper divisors (1072430529901).

100107016202099 is an equidigital number, since it uses as much as digits as its factorization.

100107016202099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46102.

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 100107016202099 in words is "one hundred trillion, one hundred seven billion, sixteen million, two hundred two thousand, ninety-nine".