102100112101209 has 8 divisors (see below), whose sum is σ = 136158697396800. Its totient is φ = 68054134103216.

The previous prime is 102100112101201. The next prime is 102100112101217. The reversal of 102100112101209 is 902101211001201.

It is an interprime number because it is at equal distance from previous prime (102100112101201) and next prime (102100112101217).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100112101209 - 2³ = 102100112101201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102100112101201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3151805502 + ... + 3151837895.

It is an arithmetic number, because the mean of its divisors is an integer number (17019837174600).

Almost surely, 2^{102100112101209} is an apocalyptic number.

It is an amenable number.

102100112101209 is a deficient number, since it is larger than the sum of its proper divisors (34058585295591).

102100112101209 is an equidigital number, since it uses as much as digits as its factorization.

102100112101209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303648799.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 102100112101209 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred nine".