102201122202001 has 4 divisors (see below), whose sum is σ = 102443880212404. Its totient is φ = 101958364191600.

The previous prime is 102201122201993. The next prime is 102201122202037. The reversal of 102201122202001 is 100202221102201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 38606637803776 + 63594484398225 = 6213424^2 + 7974615^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201122202001 - 2³ = 102201122201993 is a prime.

It is a super-3 number, since 3×102201122202001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201122202041) 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, 121379004570 + ... + 121379005411.

It is an arithmetic number, because the mean of its divisors is an integer number (25610970053101).

Almost surely, 2^{102201122202001} is an apocalyptic number.

It is an amenable number.

102201122202001 is a deficient number, since it is larger than the sum of its proper divisors (242758010403).

102201122202001 is an equidigital number, since it uses as much as digits as its factorization.

102201122202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242758010402.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102201122202001 its reverse (100202221102201), we get a palindrome (202403343304202).

The spelling of 102201122202001 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-two million, two hundred two thousand, one".