100211120200 has 24 divisors (see below), whose sum is σ = 232990854930. Its totient is φ = 40084448000.

The previous prime is 100211120197. The next prime is 100211120203. The reversal of 100211120200 is 2021112001.

100211120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100211120197) and next prime (100211120203).

It can be written as a sum of positive squares in 3 ways, for example, as 96394104676 + 3817015524 = 310474^2 + 61782^2 .

It is a super-2 number, since 2×100211120200² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100211120203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250527601 + ... + 250528000.

Almost surely, 2^100211120200 is an apocalyptic number.

100211120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211120200 is an abundant number, since it is smaller than the sum of its proper divisors (132779734730).

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

100211120200 is a wasteful number, since it uses less digits than its factorization.

100211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501055617 (or 501055608 counting only the distinct ones).

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

Adding to 100211120200 its reverse (2021112001), we get a palindrome (102232232201).

The spelling of 100211120200 in words is "one hundred billion, two hundred eleven million, one hundred twenty thousand, two hundred".