10212222212010 has 384 divisors, whose sum is σ = 33894732178944. Its totient is φ = 2075669452800.

The previous prime is 10212222211991. The next prime is 10212222212029. The reversal of 10212222212010 is 1021222221201.

It is a happy number.

10212222212010 is a `hidden beast` number, since 1 + 0 + 21 + 222 + 221 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10212222211991) and next prime (10212222212029).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 30439197 + ... + 30772863.

It is an arithmetic number, because the mean of its divisors is an integer number (88267531716).

Almost surely, 2^{10212222212010} is an apocalyptic number.

10212222212010 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 10212222212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947366089472).

10212222212010 is an abundant number, since it is smaller than the sum of its proper divisors (23682509966934).

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

10212222212010 is a wasteful number, since it uses less digits than its factorization.

10212222212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333838 (or 333835 counting only the distinct ones).

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

Adding to 10212222212010 its reverse (1021222221201), we get a palindrome (11233444433211).

It can be divided in two parts, 10212 and 222212010, that added together give a palindrome (222222222).

The spelling of 10212222212010 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, ten".