1000201112200 has 72 divisors (see below), whose sum is σ = 2454302532330. Its totient is φ = 379023552000.

The previous prime is 1000201112153. The next prime is 1000201112213. The reversal of 1000201112200 is 22111020001.

It can be written as a sum of positive squares in 3 ways, for example, as 485644521924 + 514556590276 = 696882^2 + 717326^2 .

It is a super-2 number, since 2×1000201112200² (a number of 25 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 6854401 + ... + 6998800.

Almost surely, 2^{1000201112200} is an apocalyptic number.

1000201112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000201112200 is an abundant number, since it is smaller than the sum of its proper divisors (1454101420130).

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

1000201112200 is a wasteful number, since it uses less digits than its factorization.

1000201112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13853255 (or 13853227 counting only the distinct ones).

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

Adding to 1000201112200 its reverse (22111020001), we get a palindrome (1022312132201).

The spelling of 1000201112200 in words is "one trillion, two hundred one million, one hundred twelve thousand, two hundred".