10100100212200 has 48 divisors (see below), whose sum is σ = 23715235347660. Its totient is φ = 4000039680000.

The previous prime is 10100100212171. The next prime is 10100100212219. The reversal of 10100100212200 is 221200100101.

It can be written as a sum of positive squares in 6 ways, for example, as 4554988914564 + 5545111297636 = 2134242^2 + 2354806^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249982281 + ... + 250022680.

Almost surely, 2^{10100100212200} is an apocalyptic number.

10100100212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100212200 is an abundant number, since it is smaller than the sum of its proper divisors (13615135135460).

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

10100100212200 is a wasteful number, since it uses less digits than its factorization.

10100100212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500005078 (or 500005069 counting only the distinct ones).

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

Adding to 10100100212200 its reverse (221200100101), we get a palindrome (10321300312301).

The spelling of 10100100212200 in words is "ten trillion, one hundred billion, one hundred million, two hundred twelve thousand, two hundred".