102210002202112 has 480 divisors, whose sum is σ = 246563215756704. Its totient is φ = 42184448409600.

The previous prime is 102210002202097. The next prime is 102210002202131. The reversal of 102210002202112 is 211202200012201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14353317912 + ... + 14353325032.

Almost surely, 2^{102210002202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123281607878352).

102210002202112 is an abundant number, since it is smaller than the sum of its proper divisors (144353213554592).

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

102210002202112 is an equidigital number, since it uses as much as digits as its factorization.

102210002202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102210002202112 its reverse (211202200012201), we get a palindrome (313412202214313).

The spelling of 102210002202112 in words is "one hundred two trillion, two hundred ten billion, two million, two hundred two thousand, one hundred twelve".