102102000040 has 16 divisors (see below), whose sum is σ = 229729500180. Its totient is φ = 40840800000.

The previous prime is 102102000037. The next prime is 102102000041. The reversal of 102102000040 is 40000201201.

It can be written as a sum of positive squares in 2 ways, for example, as 100442089476 + 1659910564 = 316926^2 + 40742^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101999990 and 102102000026.

It is not an unprimeable number, because it can be changed into a prime (102102000041) 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 3 ways as a sum of consecutive naturals, for example, 1276274961 + ... + 1276275040.

Almost surely, 2^102102000040 is an apocalyptic number.

102102000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102000040 is an abundant number, since it is smaller than the sum of its proper divisors (127627500140).

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

102102000040 is a wasteful number, since it uses less digits than its factorization.

102102000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552550012 (or 2552550008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102102000040 its reverse (40000201201), we get a palindrome (142102201241).

The spelling of 102102000040 in words is "one hundred two billion, one hundred two million, forty", and thus it is an aban number.