1010222212000 has 96 divisors (see below), whose sum is σ = 2628122973840. Its totient is φ = 380318924800.

The previous prime is 1010222211997. The next prime is 1010222212003. The reversal of 1010222212000 is 2122220101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010222211997) and next prime (1010222212003).

It can be written as a sum of positive squares in 8 ways, for example, as 258401422224 + 751820789776 = 508332^2 + 867076^2 .

It is not an unprimeable number, because it can be changed into a prime (1010222212003) 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 15 ways as a sum of consecutive naturals, for example, 7360105 + ... + 7496104.

Almost surely, 2^{1010222212000} is an apocalyptic number.

1010222212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010222212000 is an abundant number, since it is smaller than the sum of its proper divisors (1617900761840).

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

1010222212000 is a wasteful number, since it uses less digits than its factorization.

1010222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14856251 (or 14856233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1010222212000 its reverse (2122220101), we get a palindrome (1012344432101).

The spelling of 1010222212000 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred twelve thousand".