120202112112102 has 160 divisors (see below), whose sum is σ = 281312481669120. Its totient is φ = 38335111963200.

The previous prime is 120202112112079. The next prime is 120202112112119. The reversal of 120202112112102 is 201211211202021.

120202112112102 is a `hidden beast` number, since 12 + 0 + 20 + 211 + 211 + 210 + 2 = 666.

120202112112102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59762823 + ... + 61741389.

It is an arithmetic number, because the mean of its divisors is an integer number (1758203010432).

Almost surely, 2^{120202112112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202112112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140656240834560).

120202112112102 is an abundant number, since it is smaller than the sum of its proper divisors (161110369557018).

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

120202112112102 is a wasteful number, since it uses less digits than its factorization.

120202112112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978808 (or 1978799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120202112112102 its reverse (201211211202021), we get a palindrome (321413323314123).

The spelling of 120202112112102 in words is "one hundred twenty trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred two".