100200211002000 has 400 divisors, whose sum is σ = 365661884860272. Its totient is φ = 26444587622400.

The previous prime is 100200211001959. The next prime is 100200211002037. The reversal of 100200211002000 is 200112002001.

It can be written as a sum of positive squares in 8 ways, for example, as 31930048846224 + 68270162155776 = 5650668^2 + 8262576^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12525754 + ... + 18902246.

Almost surely, 2^{100200211002000} is an apocalyptic number.

100200211002000 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 100200211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182830942430136).

100200211002000 is an abundant number, since it is smaller than the sum of its proper divisors (265461673858272).

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

100200211002000 is an equidigital number, since it uses as much as digits as its factorization.

100200211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376625 (or 6376600 counting only the distinct ones).

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

Adding to 100200211002000 its reverse (200112002001), we get a palindrome (100400323004001).

The spelling of 100200211002000 in words is "one hundred trillion, two hundred billion, two hundred eleven million, two thousand".