102201202102209 has 64 divisors (see below), whose sum is σ = 177615949824000. Its totient is φ = 50879568706560.

The previous prime is 102201202102201. The next prime is 102201202102217. The reversal of 102201202102209 is 902201202102201.

It is an interprime number because it is at equal distance from previous prime (102201202102201) and next prime (102201202102217).

It is not a de Polignac number, because 102201202102209 - 2³ = 102201202102201 is a prime.

It is a super-2 number, since 2×102201202102209² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102201202102201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200501334 + ... + 201010415.

It is an arithmetic number, because the mean of its divisors is an integer number (2775249216000).

Almost surely, 2^{102201202102209} is an apocalyptic number.

It is an amenable number.

102201202102209 is a deficient number, since it is larger than the sum of its proper divisors (75414747721791).

102201202102209 is a wasteful number, since it uses less digits than its factorization.

102201202102209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401511830.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 102201202102209 in words is "one hundred two trillion, two hundred one billion, two hundred two million, one hundred two thousand, two hundred nine".