101221121102111 has 16 divisors (see below), whose sum is σ = 104454863013888. Its totient is φ = 98035162243200.

The previous prime is 101221121102099. The next prime is 101221121102137. The reversal of 101221121102111 is 111201121122101.

It is a cyclic number.

It is not a de Polignac number, because 101221121102111 - 2¹⁴ = 101221121085727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221121102111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221121132111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11750795 + ... + 18453276.

It is an arithmetic number, because the mean of its divisors is an integer number (6528428938368).

Almost surely, 2^{101221121102111} is an apocalyptic number.

101221121102111 is a deficient number, since it is larger than the sum of its proper divisors (3233741911777).

101221121102111 is a wasteful number, since it uses less digits than its factorization.

101221121102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30204862.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101221121102111 its reverse (111201121122101), we get a palindrome (212422242224212).

The spelling of 101221121102111 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, one hundred eleven".