101003221201 has 8 divisors (see below), whose sum is σ = 106947439560. Its totient is φ = 95059319808.

The previous prime is 101003221153. The next prime is 101003221211. The reversal of 101003221201 is 102122300101.

It can be written as a sum of positive squares in 4 ways, for example, as 134096400 + 100869124801 = 11580^2 + 317599^2 .

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 101003221201 - 2¹⁷ = 101003090129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101003221211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986325 + ... + 1083901.

It is an arithmetic number, because the mean of its divisors is an integer number (13368429945).

Almost surely, 2^101003221201 is an apocalyptic number.

It is an amenable number.

101003221201 is a deficient number, since it is larger than the sum of its proper divisors (5944218359).

101003221201 is an equidigital number, since it uses as much as digits as its factorization.

101003221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158483.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101003221201 its reverse (102122300101), we get a palindrome (203125521302).

The spelling of 101003221201 in words is "one hundred one billion, three million, two hundred twenty-one thousand, two hundred one".