1000102112118 has 48 divisors (see below), whose sum is σ = 2225605604976. Its totient is φ = 324335119680.

The previous prime is 1000102112117. The next prime is 1000102112123. The reversal of 1000102112118 is 8112112010001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1000102112118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102112117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11606080 + ... + 11691932.

It is an arithmetic number, because the mean of its divisors is an integer number (46366783437).

Almost surely, 2^{1000102112118} is an apocalyptic number.

1000102112118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1000102112118 is an abundant number, since it is smaller than the sum of its proper divisors (1225503492858).

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

1000102112118 is a wasteful number, since it uses less digits than its factorization.

1000102112118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103389 (or 103386 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1000102112118 its reverse (8112112010001), we get a palindrome (9112214122119).

The spelling of 1000102112118 in words is "one trillion, one hundred two million, one hundred twelve thousand, one hundred eighteen".