1010122120008 has 48 divisors (see below), whose sum is σ = 2735815664400. Its totient is φ = 336698972640.

The previous prime is 1010122120001. The next prime is 1010122120019. The reversal of 1010122120008 is 8000212210101.

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

It is not an unprimeable number, because it can be changed into a prime (1010122120001) 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 11 ways as a sum of consecutive naturals, for example, 3172383 + ... + 3476241.

It is an arithmetic number, because the mean of its divisors is an integer number (56996159675).

Almost surely, 2^{1010122120008} is an apocalyptic number.

1010122120008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1010122120008 is an abundant number, since it is smaller than the sum of its proper divisors (1725693544392).

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

1010122120008 is a wasteful number, since it uses less digits than its factorization.

1010122120008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350042 (or 350035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1010122120008 its reverse (8000212210101), we get a palindrome (9010334330109).

The spelling of 1010122120008 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, eight".