100102200200 has 48 divisors (see below), whose sum is σ = 233324041380. Its totient is φ = 39939989760.

The previous prime is 100102200197. The next prime is 100102200217. The reversal of 100102200200 is 2002201001.

It can be written as a sum of positive squares in 6 ways, for example, as 78255586564 + 21846613636 = 279742^2 + 147806^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 11 ways as a sum of consecutive naturals, for example, 550967 + ... + 709766.

Almost surely, 2^100102200200 is an apocalyptic number.

100102200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102200200 is an abundant number, since it is smaller than the sum of its proper divisors (133221841180).

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

100102200200 is a wasteful number, since it uses less digits than its factorization.

100102200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261146 (or 1261137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100102200200 its reverse (2002201001), we get a palindrome (102104401201).

The spelling of 100102200200 in words is "one hundred billion, one hundred two million, two hundred thousand, two hundred".