101814768100 has 18 divisors (see below), whose sum is σ = 220938046994. Its totient is φ = 40725907200.

The previous prime is 101814768089. The next prime is 101814768109. The reversal of 101814768100 is 1867418101.

It can be written as a sum of positive squares in 3 ways, for example, as 18053147044 + 83761621056 = 134362^2 + 289416^2 .

It is a super-2 number, since 2×101814768100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101814768100.

It is not an unprimeable number, because it can be changed into a prime (101814768109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 509073741 + ... + 509073940.

Almost surely, 2^101814768100 is an apocalyptic number.

101814768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101814768100 is an abundant number, since it is smaller than the sum of its proper divisors (119123278894).

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

101814768100 is a wasteful number, since it uses less digits than its factorization.

101814768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018147695 (or 1018147688 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 101814768100 in words is "one hundred one billion, eight hundred fourteen million, seven hundred sixty-eight thousand, one hundred".