120112110000102 has 128 divisors (see below), whose sum is σ = 273770687877120. Its totient is φ = 34805598791040.

The previous prime is 120112110000053. The next prime is 120112110000107. The reversal of 120112110000102 is 201000011211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112110000107) 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 63 ways as a sum of consecutive naturals, for example, 637162753 + ... + 637351235.

It is an arithmetic number, because the mean of its divisors is an integer number (2138833499040).

Almost surely, 2^{120112110000102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112110000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136885343938560).

120112110000102 is an abundant number, since it is smaller than the sum of its proper divisors (153658577877018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120112110000102 is a wasteful number, since it uses less digits than its factorization.

120112110000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193018.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120112110000102 its reverse (201000011211021), we get a palindrome (321112121211123).

The spelling of 120112110000102 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred ten million, one hundred two", and thus it is an aban number.