1000201211100 has 1440 divisors, whose sum is σ = 4114744972800. Its totient is φ = 204577228800.

The previous prime is 1000201211081. The next prime is 1000201211183. The reversal of 1000201211100 is 11121020001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4740289995 + ... + 4740290205.

Almost surely, 2^{1000201211100} is an apocalyptic number.

1000201211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000201211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057372486400).

1000201211100 is an abundant number, since it is smaller than the sum of its proper divisors (3114543761700).

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

1000201211100 is a wasteful number, since it uses less digits than its factorization.

1000201211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000201211100 its reverse (11121020001), we get a palindrome (1011322231101).

The spelling of 1000201211100 in words is "one trillion, two hundred one million, two hundred eleven thousand, one hundred".