1010010122112 has 64 divisors (see below), whose sum is σ = 2686206373200. Its totient is φ = 336247517184.

The previous prime is 1010010122083. The next prime is 1010010122123. The reversal of 1010010122112 is 2112210100101.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1344037 + ... + 1956132.

Almost surely, 2^{1010010122112} is an apocalyptic number.

1010010122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010010122112 is an abundant number, since it is smaller than the sum of its proper divisors (1676196251088).

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

1010010122112 is an equidigital number, since it uses as much as digits as its factorization.

1010010122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300983 (or 3300971 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010010122112 its reverse (2112210100101), we get a palindrome (3122220222213).

The spelling of 1010010122112 in words is "one trillion, ten billion, ten million, one hundred twenty-two thousand, one hundred twelve".