102210120002112 has 112 divisors (see below), whose sum is σ = 274510715261952. Its totient is φ = 33556214039040.

The previous prime is 102210120002101. The next prime is 102210120002113. The reversal of 102210120002112 is 211200021012201.

It is a super-3 number, since 3×102210120002112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210120002091 and 102210120002100.

It is not an unprimeable number, because it can be changed into a prime (102210120002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80970037 + ... + 82222667.

Almost surely, 2^{102210120002112} is an apocalyptic number.

102210120002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137255357630976).

102210120002112 is an abundant number, since it is smaller than the sum of its proper divisors (172300595259840).

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

102210120002112 is a wasteful number, since it uses less digits than its factorization.

102210120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259056 (or 1259046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210120002112 its reverse (211200021012201), we get a palindrome (313410141014313).

The spelling of 102210120002112 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, two thousand, one hundred twelve".