10001012000120 has 16 divisors (see below), whose sum is σ = 22502277000360. Its totient is φ = 4000404800032.

The previous prime is 10001012000107. The next prime is 10001012000167. The reversal of 10001012000120 is 2100021010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001012000098 and 10001012000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125012649962 + ... + 125012650041.

Almost surely, 2^{10001012000120} is an apocalyptic number.

10001012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001012000120 is an abundant number, since it is smaller than the sum of its proper divisors (12501265000240).

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

10001012000120 is a wasteful number, since it uses less digits than its factorization.

10001012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250025300014 (or 250025300010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001012000120 its reverse (2100021010001), we get a palindrome (12101033010121).

The spelling of 10001012000120 in words is "ten trillion, one billion, twelve million, one hundred twenty", and thus it is an aban number.