1000102112120 has 16 divisors (see below), whose sum is σ = 2250229752360. Its totient is φ = 400040844832.

The previous prime is 1000102112117. The next prime is 1000102112123. The reversal of 1000102112120 is 212112010001.

It is an interprime number because it is at equal distance from previous prime (1000102112117) and next prime (1000102112123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102112123) 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 3 ways as a sum of consecutive naturals, for example, 12501276362 + ... + 12501276441.

Almost surely, 2^{1000102112120} is an apocalyptic number.

1000102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000102112120 is an abundant number, since it is smaller than the sum of its proper divisors (1250127640240).

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

1000102112120 is a wasteful number, since it uses less digits than its factorization.

1000102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002552814 (or 25002552810 counting only the distinct ones).

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

Adding to 1000102112120 its reverse (212112010001), we get a palindrome (1212214122121).

The spelling of 1000102112120 in words is "one trillion, one hundred two million, one hundred twelve thousand, one hundred twenty".