101122122201 has 8 divisors (see below), whose sum is σ = 135316246464. Its totient is φ = 67171373040.

The previous prime is 101122122191. The next prime is 101122122209. The reversal of 101122122201 is 102221221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101122122201 - 2¹⁵ = 101122089433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122122209) 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 7 ways as a sum of consecutive naturals, for example, 60842805 + ... + 60844466.

It is an arithmetic number, because the mean of its divisors is an integer number (16914530808).

Almost surely, 2^101122122201 is an apocalyptic number.

It is an amenable number.

101122122201 is a deficient number, since it is larger than the sum of its proper divisors (34194124263).

101122122201 is a wasteful number, since it uses less digits than its factorization.

101122122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121687551.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122122201 its reverse (102221221101), we get a palindrome (203343343302).

The spelling of 101122122201 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".