101122121201 has 32 divisors (see below), whose sum is σ = 105525089280. Its totient is φ = 96858077184.

The previous prime is 101122121167. The next prime is 101122121209. The reversal of 101122121201 is 102121221101.

It is a cyclic number.

It is not a de Polignac number, because 101122121201 - 2²⁶ = 101055012337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122121209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91678616 + ... + 91679718.

It is an arithmetic number, because the mean of its divisors is an integer number (3297659040).

Almost surely, 2^101122121201 is an apocalyptic number.

It is an amenable number.

101122121201 is a deficient number, since it is larger than the sum of its proper divisors (4402968079).

101122121201 is a wasteful number, since it uses less digits than its factorization.

101122121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122121201 its reverse (102121221101), we get a palindrome (203243342302).

The spelling of 101122121201 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred one".