100211001000200 has 48 divisors (see below), whose sum is σ = 232998277581780. Its totient is φ = 40083075624960.

The previous prime is 100211001000193. The next prime is 100211001000233. The reversal of 100211001000200 is 2000100112001.

It can be written as a sum of positive squares in 6 ways, for example, as 76501717068676 + 23709283931524 = 8746526^2 + 4869218^2 .

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, 2202089 + ... + 14327288.

Almost surely, 2^{100211001000200} is an apocalyptic number.

100211001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211001000200 is an abundant number, since it is smaller than the sum of its proper divisors (132787276581580).

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

100211001000200 is a wasteful number, since it uses less digits than its factorization.

100211001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16559706 (or 16559697 counting only the distinct ones).

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

Adding to 100211001000200 its reverse (2000100112001), we get a palindrome (102211101112201).

The spelling of 100211001000200 in words is "one hundred trillion, two hundred eleven billion, one million, two hundred", and thus it is an aban number.