1000010000120 has 64 divisors (see below), whose sum is σ = 2265518808000. Its totient is φ = 397256555520.

The previous prime is 1000010000083. The next prime is 1000010000123. The reversal of 1000010000120 is 210000100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010000123) 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, 4190252 + ... + 4422468.

It is an arithmetic number, because the mean of its divisors is an integer number (35398731375).

Almost surely, 2^{1000010000120} is an apocalyptic number.

1000010000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000010000120 is an abundant number, since it is smaller than the sum of its proper divisors (1265508807880).

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

1000010000120 is a wasteful number, since it uses less digits than its factorization.

1000010000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232968 (or 232964 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1000010000120 its reverse (210000100001), we get a palindrome (1210010100121).

The spelling of 1000010000120 in words is "one trillion, ten million, one hundred twenty", and thus it is an aban number.