102202120212 has 96 divisors (see below), whose sum is σ = 257618092032. Its totient is φ = 31455680256.

The previous prime is 102202120177. The next prime is 102202120213. The reversal of 102202120212 is 212021202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202120191 and 102202120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202120213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892993 + ... + 1000919.

It is an arithmetic number, because the mean of its divisors is an integer number (2683521792).

Almost surely, 2^102202120212 is an apocalyptic number.

102202120212 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 102202120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128809046016).

102202120212 is an abundant number, since it is smaller than the sum of its proper divisors (155415971820).

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

102202120212 is a wasteful number, since it uses less digits than its factorization.

102202120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108077 (or 108075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202120212 its reverse (212021202201), we get a palindrome (314223322413).

The spelling of 102202120212 in words is "one hundred two billion, two hundred two million, one hundred twenty thousand, two hundred twelve".