101122200121 has 8 divisors (see below), whose sum is σ = 112705858080. Its totient is φ = 90164685888.

The previous prime is 101122200107. The next prime is 101122200149. The reversal of 101122200121 is 121002221101.

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 101122200121 - 2¹⁵ = 101122167353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122209121) 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, 156535591 + ... + 156536236.

It is an arithmetic number, because the mean of its divisors is an integer number (14088232260).

Almost surely, 2^101122200121 is an apocalyptic number.

It is an amenable number.

101122200121 is a deficient number, since it is larger than the sum of its proper divisors (11583657959).

101122200121 is a wasteful number, since it uses less digits than its factorization.

101122200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313071863.

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

Adding to 101122200121 its reverse (121002221101), we get a palindrome (222124421222).

The spelling of 101122200121 in words is "one hundred one billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-one".