11000201021010 has 128 divisors (see below), whose sum is σ = 29535643008000. Its totient is φ = 2913216134400.

The previous prime is 11000201020979. The next prime is 11000201021057. The reversal of 11000201021010 is 1012010200011.

It is a happy number.

It is a super-2 number, since 2×11000201021010² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11000201020983 and 11000201021001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287665612 + ... + 287703848.

It is an arithmetic number, because the mean of its divisors is an integer number (230747211000).

Almost surely, 2^{11000201021010} is an apocalyptic number.

11000201021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000201021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767821504000).

11000201021010 is an abundant number, since it is smaller than the sum of its proper divisors (18535441986990).

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

11000201021010 is a wasteful number, since it uses less digits than its factorization.

11000201021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45553 (or 45547 counting only the distinct ones).

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

Adding to 11000201021010 its reverse (1012010200011), we get a palindrome (12012211221021).

The spelling of 11000201021010 in words is "eleven trillion, two hundred one million, twenty-one thousand, ten".