120212002212102 has 80 divisors (see below), whose sum is σ = 274540411510992. Its totient is φ = 39301131130560.

The previous prime is 120212002212089. The next prime is 120212002212109. The reversal of 120212002212102 is 201212200212021.

It is a happy number.

120212002212102 is a `hidden beast` number, since 1 + 20 + 212 + 0 + 0 + 221 + 210 + 2 = 666.

It is a super-2 number, since 2×120212002212102² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212002212109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22645477 + ... + 27445247.

Almost surely, 2^{120212002212102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212002212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137270205755496).

120212002212102 is an abundant number, since it is smaller than the sum of its proper divisors (154328409298890).

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

120212002212102 is a wasteful number, since it uses less digits than its factorization.

120212002212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802755 (or 4802746 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212002212102 its reverse (201212200212021), we get a palindrome (321424202424123).

The spelling of 120212002212102 in words is "one hundred twenty trillion, two hundred twelve billion, two million, two hundred twelve thousand, one hundred two".