100102102200200 has 48 divisors (see below), whose sum is σ = 233167586365860. Its totient is φ = 39966828192000.

The previous prime is 100102102200091. The next prime is 100102102200241. The reversal of 100102102200200 is 2002201201001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7257970059844 + 92844132140356 = 2694062^2 + 9635566^2 .

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, 462470831 + ... + 462687230.

Almost surely, 2^{100102102200200} is an apocalyptic number.

100102102200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102102200200 is an abundant number, since it is smaller than the sum of its proper divisors (133065484165660).

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

100102102200200 is a wasteful number, since it uses less digits than its factorization.

100102102200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925158618 (or 925158609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100102102200200 its reverse (2002201201001), we get a palindrome (102104303401201).

The spelling of 100102102200200 in words is "one hundred trillion, one hundred two billion, one hundred two million, two hundred thousand, two hundred".