122101002100111 has 8 divisors (see below), whose sum is σ = 123347787346224. Its totient is φ = 120860435234880.

The previous prime is 122101002100109. The next prime is 122101002100117. The reversal of 122101002100111 is 111001200101221.

It is a happy number.

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 122101002100111 - 2¹ = 122101002100109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101002100091 and 122101002100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101002100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554555750 + ... + 1554634291.

It is an arithmetic number, because the mean of its divisors is an integer number (15418473418278).

Almost surely, 2^{122101002100111} is an apocalyptic number.

122101002100111 is a deficient number, since it is larger than the sum of its proper divisors (1246785246113).

122101002100111 is a wasteful number, since it uses less digits than its factorization.

122101002100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109190441.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122101002100111 its reverse (111001200101221), we get a palindrome (233102202201332).

The spelling of 122101002100111 in words is "one hundred twenty-two trillion, one hundred one billion, two million, one hundred thousand, one hundred eleven".