101122320201 has 64 divisors (see below), whose sum is σ = 164662087680. Its totient is φ = 53914049280.

The previous prime is 101122320161. The next prime is 101122320241. The reversal of 101122320201 is 102023221101.

It is an interprime number because it is at equal distance from previous prime (101122320161) and next prime (101122320241).

It is not a de Polignac number, because 101122320201 - 2¹³ = 101122312009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122320241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45693571 + ... + 45695783.

It is an arithmetic number, because the mean of its divisors is an integer number (2572845120).

Almost surely, 2^101122320201 is an apocalyptic number.

It is an amenable number.

101122320201 is a deficient number, since it is larger than the sum of its proper divisors (63539767479).

101122320201 is a wasteful number, since it uses less digits than its factorization.

101122320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101122320201 its reverse (102023221101), we get a palindrome (203145541302).

The spelling of 101122320201 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty thousand, two hundred one".