100101010200200 has 48 divisors (see below), whose sum is σ = 232736203172580. Its totient is φ = 40040171055360.

The previous prime is 100101010200179. The next prime is 100101010200229. The reversal of 100101010200200 is 2002010101001.

It can be written as a sum of positive squares in 6 ways, for example, as 62529283742116 + 37571726458084 = 7907546^2 + 6129578^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35309882 + ... + 38039318.

Almost surely, 2^{100101010200200} is an apocalyptic number.

100101010200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101010200200 is an abundant number, since it is smaller than the sum of its proper divisors (132635192972380).

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

100101010200200 is a wasteful number, since it uses less digits than its factorization.

100101010200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912826 (or 2912817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101010200200 its reverse (2002010101001), we get a palindrome (102103020301201).

The spelling of 100101010200200 in words is "one hundred trillion, one hundred one billion, ten million, two hundred thousand, two hundred".