101221000102001 has 4 divisors (see below), whose sum is σ = 109007230879092. Its totient is φ = 93434769324912.

The previous prime is 101221000101971. The next prime is 101221000102063. The reversal of 101221000102001 is 100201000122101.

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 41298925427776 + 59922074674225 = 6426424^2 + 7740935^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221000102001 - 2³⁸ = 100946122195057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221000902001) 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, 3893115388526 + ... + 3893115388551.

It is an arithmetic number, because the mean of its divisors is an integer number (27251807719773).

Almost surely, 2^{101221000102001} is an apocalyptic number.

It is an amenable number.

101221000102001 is a deficient number, since it is larger than the sum of its proper divisors (7786230777091).

101221000102001 is an equidigital number, since it uses as much as digits as its factorization.

101221000102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786230777090.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101221000102001 its reverse (100201000122101), we get a palindrome (201422000224102).

The spelling of 101221000102001 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred two thousand, one".