102201101102201 has 4 divisors (see below), whose sum is σ = 102288377876304. Its totient is φ = 102113824328100.

The previous prime is 102201101102167. The next prime is 102201101102239.

102201101102201 is nontrivially palindromic in base 10.

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 not a de Polignac number, because 102201101102201 - 2⁴² = 97803054591097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201101101201) 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, 43638385295 + ... + 43638387636.

It is an arithmetic number, because the mean of its divisors is an integer number (25572094469076).

Almost surely, 2^{102201101102201} is an apocalyptic number.

It is an amenable number.

102201101102201 is a deficient number, since it is larger than the sum of its proper divisors (87276774103).

102201101102201 is an equidigital number, since it uses as much as digits as its factorization.

102201101102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87276774102.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10220110 and 1102201, that added together give a palindrome (11322311).

The spelling of 102201101102201 in words is "one hundred two trillion, two hundred one billion, one hundred one million, one hundred two thousand, two hundred one".