102200002201 has 8 divisors (see below), whose sum is σ = 111499776000. Its totient is φ = 92901705840.

The previous prime is 102200002147. The next prime is 102200002213.

102200002201 is nontrivially palindromic in base 10.

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 102200002201 - 2²³ = 102191613593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200002241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 222166 + ... + 503743.

It is an arithmetic number, because the mean of its divisors is an integer number (13937472000).

Almost surely, 2^102200002201 is an apocalyptic number.

102200002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200002201 is a deficient number, since it is larger than the sum of its proper divisors (9299773799).

102200002201 is a wasteful number, since it uses less digits than its factorization.

102200002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738719.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 10220000 and 2201, that added together give a palindrome (10222201).

The spelling of 102200002201 in words is "one hundred two billion, two hundred million, two thousand, two hundred one".