1010112122000 has 80 divisors (see below), whose sum is σ = 2521240011264. Its totient is φ = 391011120000.

The previous prime is 1010112121979. The next prime is 1010112122003. The reversal of 1010112122000 is 2212110101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1010112122000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010112122003) 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, 8084066 + ... + 8208065.

Almost surely, 2^{1010112122000} is an apocalyptic number.

1010112122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112122000 is an abundant number, since it is smaller than the sum of its proper divisors (1511127889264).

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

1010112122000 is a wasteful number, since it uses less digits than its factorization.

1010112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292185 (or 16292169 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010112122000 its reverse (2212110101), we get a palindrome (1012324232101).

The spelling of 1010112122000 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty-two thousand".