100010221100200 has 48 divisors (see below), whose sum is σ = 240541824901500. Its totient is φ = 38624637112320.

The previous prime is 100010221100173. The next prime is 100010221100227. The reversal of 100010221100200 is 2001122010001.

It is an interprime number because it is at equal distance from previous prime (100010221100173) and next prime (100010221100227).

It can be written as a sum of positive squares in 6 ways, for example, as 17424329668516 + 82585891431684 = 4174246^2 + 9087678^2 .

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

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, 8621564985 + ... + 8621576584.

Almost surely, 2^{100010221100200} is an apocalyptic number.

100010221100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010221100200 is an abundant number, since it is smaller than the sum of its proper divisors (140531603801300).

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

100010221100200 is a wasteful number, since it uses less digits than its factorization.

100010221100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17243141614 (or 17243141605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010221100200 its reverse (2001122010001), we get a palindrome (102011343110201).

The spelling of 100010221100200 in words is "one hundred trillion, ten billion, two hundred twenty-one million, one hundred thousand, two hundred".