1001202100200 has 144 divisors (see below), whose sum is σ = 3400150373100. Its totient is φ = 263987328000.

The previous prime is 1001202100193. The next prime is 1001202100207. The reversal of 1001202100200 is 20012021001.

It is an interprime number because it is at equal distance from previous prime (1001202100193) and next prime (1001202100207).

It can be written as a sum of positive squares in 6 ways, for example, as 250106011236 + 751096088964 = 500106^2 + 866658^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001202100207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2964651 + ... + 3285050.

Almost surely, 2^{1001202100200} is an apocalyptic number.

1001202100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001202100200 is an abundant number, since it is smaller than the sum of its proper divisors (2398948272900).

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

1001202100200 is a wasteful number, since it uses less digits than its factorization.

1001202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249812 (or 6249800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001202100200 its reverse (20012021001), we get a palindrome (1021214121201).

The spelling of 1001202100200 in words is "one trillion, one billion, two hundred two million, one hundred thousand, two hundred".