102200100010001 has 4 divisors (see below), whose sum is σ = 116800114297152. Its totient is φ = 87600085722852.

The previous prime is 102200100009979. The next prime is 102200100010067. The reversal of 102200100010001 is 100010001002201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200100010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200100010901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7300007143565 + ... + 7300007143578.

It is an arithmetic number, because the mean of its divisors is an integer number (29200028574288).

Almost surely, 2^{102200100010001} is an apocalyptic number.

It is an amenable number.

102200100010001 is a deficient number, since it is larger than the sum of its proper divisors (14600014287151).

102200100010001 is an equidigital number, since it uses as much as digits as its factorization.

102200100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14600014287150.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102200100010001 its reverse (100010001002201), we get a palindrome (202210101012202).

The spelling of 102200100010001 in words is "one hundred two trillion, two hundred billion, one hundred million, ten thousand, one".