10212212222000 has 160 divisors (see below), whose sum is σ = 26290133198784. Its totient is φ = 3823354368000.

The previous prime is 10212212221931. The next prime is 10212212222033. The reversal of 10212212222000 is 22221221201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10212212222000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5324279 + ... + 6983721.

Almost surely, 2^{10212212222000} is an apocalyptic number.

10212212222000 is a gapful number since it is divisible by the number (10) 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 10212212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145066599392).

10212212222000 is an abundant number, since it is smaller than the sum of its proper divisors (16077920976784).

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

10212212222000 is a wasteful number, since it uses less digits than its factorization.

10212212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659664 (or 1659648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10212212222000 its reverse (22221221201), we get a palindrome (10234433443201).

It can be divided in two parts, 10212 and 212222000, that added together give a palindrome (212232212).

The spelling of 10212212222000 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, two hundred twenty-two thousand".