1010212212000 has 96 divisors (see below), whose sum is σ = 3309455245824. Its totient is φ = 269389920000.

The previous prime is 1010212211999. The next prime is 1010212212007. The reversal of 1010212212000 is 2122120101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1010212212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42080176 + ... + 42104175.

It is an arithmetic number, because the mean of its divisors is an integer number (34473492144).

Almost surely, 2^{1010212212000} is an apocalyptic number.

1010212212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010212212000 is an abundant number, since it is smaller than the sum of its proper divisors (2299243033824).

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

1010212212000 is an equidigital number, since it uses as much as digits as its factorization.

1010212212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84184379 (or 84184361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010212212000 its reverse (2122120101), we get a palindrome (1012334332101).

The spelling of 1010212212000 in words is "one trillion, ten billion, two hundred twelve million, two hundred twelve thousand".