102210210200112 has 160 divisors (see below), whose sum is σ = 305416665415680. Its totient is φ = 28849423207680.

The previous prime is 102210210200069. The next prime is 102210210200149. The reversal of 102210210200112 is 211002012012201.

It is a junction number, because it is equal to n+sod(n) for n = 102210210200091 and 102210210200100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536218839 + ... + 536409417.

It is an arithmetic number, because the mean of its divisors is an integer number (1908854158848).

Almost surely, 2^{102210210200112} is an apocalyptic number.

102210210200112 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 102210210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152708332707840).

102210210200112 is an abundant number, since it is smaller than the sum of its proper divisors (203206455215568).

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

102210210200112 is a wasteful number, since it uses less digits than its factorization.

102210210200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209911 (or 209905 counting only the distinct ones).

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

Adding to 102210210200112 its reverse (211002012012201), we get a palindrome (313212222212313).

The spelling of 102210210200112 in words is "one hundred two trillion, two hundred ten billion, two hundred ten million, two hundred thousand, one hundred twelve".