101202002118 has 72 divisors (see below), whose sum is σ = 255163676040. Its totient is φ = 28904279040.

The previous prime is 101202002117. The next prime is 101202002131. The reversal of 101202002118 is 811200202101.

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 101202002118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2572678 + ... + 2611718.

It is an arithmetic number, because the mean of its divisors is an integer number (3543939945).

Almost surely, 2^101202002118 is an apocalyptic number.

101202002118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101202002118 is an abundant number, since it is smaller than the sum of its proper divisors (153961673922).

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

101202002118 is a wasteful number, since it uses less digits than its factorization.

101202002118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42002 (or 41992 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101202002118 its reverse (811200202101), we get a palindrome (912402204219).

The spelling of 101202002118 in words is "one hundred one billion, two hundred two million, two thousand, one hundred eighteen".