101122120221 has 8 divisors (see below), whose sum is σ = 142760640384. Its totient is φ = 63449173440.

The previous prime is 101122120201. The next prime is 101122120237. The reversal of 101122120221 is 122021221101.

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

It is not a de Polignac number, because 101122120221 - 2²² = 101117925917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122120201) 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, 991393285 + ... + 991393386.

It is an arithmetic number, because the mean of its divisors is an integer number (17845080048).

Almost surely, 2^101122120221 is an apocalyptic number.

It is an amenable number.

101122120221 is a deficient number, since it is larger than the sum of its proper divisors (41638520163).

101122120221 is a wasteful number, since it uses less digits than its factorization.

101122120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982786691.

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

Adding to 101122120221 its reverse (122021221101), we get a palindrome (223143341322).

The spelling of 101122120221 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".