101122220101 has 16 divisors (see below), whose sum is σ = 117831573504. Its totient is φ = 84980997504.

The previous prime is 101122220099. The next prime is 101122220117. The reversal of 101122220101 is 101022221101.

It is a cyclic number.

It is not a de Polignac number, because 101122220101 - 2¹ = 101122220099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122220191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436540 + ... + 626746.

It is an arithmetic number, because the mean of its divisors is an integer number (7364473344).

Almost surely, 2^101122220101 is an apocalyptic number.

It is an amenable number.

101122220101 is a deficient number, since it is larger than the sum of its proper divisors (16709353403).

101122220101 is a wasteful number, since it uses less digits than its factorization.

101122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191700.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101122220101 its reverse (101022221101), we get a palindrome (202144441202).

The spelling of 101122220101 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".