11000201210100 has 432 divisors, whose sum is σ = 35130849481728. Its totient is φ = 2878530151680.

The previous prime is 11000201210081. The next prime is 11000201210111. The reversal of 11000201210100 is 101210200011.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8416373647 + ... + 8416374953.

Almost surely, 2^{11000201210100} is an apocalyptic number.

11000201210100 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 11000201210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565424740864).

11000201210100 is an abundant number, since it is smaller than the sum of its proper divisors (24130648271628).

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

11000201210100 is a wasteful number, since it uses less digits than its factorization.

11000201210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2074 counting only the distinct ones).

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

Adding to 11000201210100 its reverse (101210200011), we get a palindrome (11101411410111).

The spelling of 11000201210100 in words is "eleven trillion, two hundred one million, two hundred ten thousand, one hundred".