101118714820 has 12 divisors (see below), whose sum is σ = 212349301164. Its totient is φ = 40447485920.

The previous prime is 101118714793. The next prime is 101118714847. The reversal of 101118714820 is 28417811101.

It is an interprime number because it is at equal distance from previous prime (101118714793) and next prime (101118714847).

It can be written as a sum of positive squares in 2 ways, for example, as 66573288324 + 34545426496 = 258018^2 + 185864^2 .

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, 2527967851 + ... + 2527967890.

It is an arithmetic number, because the mean of its divisors is an integer number (17695775097).

Almost surely, 2^101118714820 is an apocalyptic number.

101118714820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101118714820 is an abundant number, since it is smaller than the sum of its proper divisors (111230586344).

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

101118714820 is a wasteful number, since it uses less digits than its factorization.

101118714820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055935750 (or 5055935748 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 34.

The spelling of 101118714820 in words is "one hundred one billion, one hundred eighteen million, seven hundred fourteen thousand, eight hundred twenty".