1010012110120 has 64 divisors (see below), whose sum is σ = 2448744938640. Its totient is φ = 372713011200.

The previous prime is 1010012110111. The next prime is 1010012110169. The reversal of 1010012110120 is 210112100101.

It can be written as a sum of positive squares in 8 ways, for example, as 28759411396 + 981252698724 = 169586^2 + 990582^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010012110097 and 1010012110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347500 + ... + 1463140.

Almost surely, 2^{1010012110120} is an apocalyptic number.

1010012110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012110120 is an abundant number, since it is smaller than the sum of its proper divisors (1438732828520).

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

1010012110120 is a wasteful number, since it uses less digits than its factorization.

1010012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117406 (or 1117402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010012110120 its reverse (210112100101), we get a palindrome (1220124210221).

The spelling of 1010012110120 in words is "one trillion, ten billion, twelve million, one hundred ten thousand, one hundred twenty".