10202212212210 has 192 divisors, whose sum is σ = 28436992496640. Its totient is φ = 2528635760640.

The previous prime is 10202212212169. The next prime is 10202212212211. The reversal of 10202212212210 is 1221221220201.

It is a happy number.

10202212212210 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 221 + 221 + 221 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10202212212211) 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 95 ways as a sum of consecutive naturals, for example, 110387679 + ... + 110480061.

It is an arithmetic number, because the mean of its divisors is an integer number (148109335920).

Almost surely, 2^{10202212212210} is an apocalyptic number.

10202212212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202212212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218496248320).

10202212212210 is an abundant number, since it is smaller than the sum of its proper divisors (18234780284430).

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

10202212212210 is a wasteful number, since it uses less digits than its factorization.

10202212212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93313 (or 93310 counting only the distinct ones).

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

Adding to 10202212212210 its reverse (1221221220201), we get a palindrome (11423433432411).

The spelling of 10202212212210 in words is "ten trillion, two hundred two billion, two hundred twelve million, two hundred twelve thousand, two hundred ten".