120120111102101 has 16 divisors (see below), whose sum is σ = 131166614520000. Its totient is φ = 109094733350400.

The previous prime is 120120111102077. The next prime is 120120111102107. The reversal of 120120111102101 is 101201111021021.

It is a cyclic number.

It is not a de Polignac number, because 120120111102101 - 2³⁴ = 120102931232917 is a prime.

It is a super-2 number, since 2×120120111102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120111102107) 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, 54335795 + ... + 56503263.

It is an arithmetic number, because the mean of its divisors is an integer number (8197913407500).

Almost surely, 2^{120120111102101} is an apocalyptic number.

120120111102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120120111102101 is a deficient number, since it is larger than the sum of its proper divisors (11046503417899).

120120111102101 is a wasteful number, since it uses less digits than its factorization.

120120111102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172340.

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

Adding to 120120111102101 its reverse (101201111021021), we get a palindrome (221321222123122).

It can be divided in two parts, 1 and 20120111102101, that added together give a palindrome (20120111102102).

The spelling of 120120111102101 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred eleven million, one hundred two thousand, one hundred one".