102000100100 has 18 divisors (see below), whose sum is σ = 221340217434. Its totient is φ = 40800040000.

The previous prime is 102000100039. The next prime is 102000100121. The reversal of 102000100100 is 1001000201.

It is a happy number.

102000100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10988070976 + 91012029124 = 104824^2 + 301682^2 .

It is a super-3 number, since 3×102000100100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510000401 + ... + 510000600.

Almost surely, 2^102000100100 is an apocalyptic number.

102000100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000100100 is an abundant number, since it is smaller than the sum of its proper divisors (119340117334).

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

102000100100 is a wasteful number, since it uses less digits than its factorization.

102000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020001015 (or 1020001008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 102000100100 its reverse (1001000201), we get a palindrome (103001100301).

The spelling of 102000100100 in words is "one hundred two billion, one hundred thousand, one hundred".