120111001122101 has 16 divisors (see below), whose sum is σ = 132687189391680. Its totient is φ = 107812534734720.

The previous prime is 120111001122071. The next prime is 120111001122149. The reversal of 120111001122101 is 101221100111021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120111001122101 is a prime.

It is a super-2 number, since 2×120111001122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111001122191) 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, 37307336 + ... + 40398753.

It is an arithmetic number, because the mean of its divisors is an integer number (8292949336980).

Almost surely, 2^{120111001122101} is an apocalyptic number.

120111001122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120111001122101 is a deficient number, since it is larger than the sum of its proper divisors (12576188269579).

120111001122101 is a wasteful number, since it uses less digits than its factorization.

120111001122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77707876.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 120111001122101 its reverse (101221100111021), we get a palindrome (221332101233122).

The spelling of 120111001122101 in words is "one hundred twenty trillion, one hundred eleven billion, one million, one hundred twenty-two thousand, one hundred one".