11012210201000 has 32 divisors (see below), whose sum is σ = 25768571872680. Its totient is φ = 4404884080000.

The previous prime is 11012210200903. The next prime is 11012210201021. The reversal of 11012210201000 is 10201221011.

It can be written as a sum of positive squares in 4 ways, for example, as 7156555930276 + 3855654270724 = 2675174^2 + 1963582^2 .

It is a super-2 number, since 2×11012210201000² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5506104101 + ... + 5506106100.

Almost surely, 2^{11012210201000} is an apocalyptic number.

11012210201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012210201000 is an abundant number, since it is smaller than the sum of its proper divisors (14756361671680).

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

11012210201000 is a wasteful number, since it uses less digits than its factorization.

11012210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012210222 (or 11012210208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11012210201000 its reverse (10201221011), we get a palindrome (11022411422011).

It can be divided in two parts, 11012 and 210201000, that added together give a palindrome (210212012).

The spelling of 11012210201000 in words is "eleven trillion, twelve billion, two hundred ten million, two hundred one thousand".