101021021111121 has 8 divisors (see below), whose sum is σ = 134816811496320. Its totient is φ = 67286289066672.

The previous prime is 101021021111029. The next prime is 101021021111173. The reversal of 101021021111121 is 121111120120101.

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

It is not a de Polignac number, because 101021021111121 - 2⁹ = 101021021110609 is a prime.

It is a super-3 number, since 3×101021021111121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101021021111121.

It is not an unprimeable number, because it can be changed into a prime (101021021115121) 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, 15264581326 + ... + 15264587943.

It is an arithmetic number, because the mean of its divisors is an integer number (16852101437040).

Almost surely, 2^{101021021111121} is an apocalyptic number.

It is an amenable number.

101021021111121 is a deficient number, since it is larger than the sum of its proper divisors (33795790385199).

101021021111121 is a wasteful number, since it uses less digits than its factorization.

101021021111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30529170375.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101021021111121 its reverse (121111120120101), we get a palindrome (222132141231222).

The spelling of 101021021111121 in words is "one hundred one trillion, twenty-one billion, twenty-one million, one hundred eleven thousand, one hundred twenty-one".