11012001022100 has 36 divisors (see below), whose sum is σ = 25734199314684. Its totient is φ = 4065969607680.

The previous prime is 11012001022027. The next prime is 11012001022111. The reversal of 11012001022100 is 122010021011.

It can be written as a sum of positive squares in 6 ways, for example, as 430590565636 + 10581410456464 = 656194^2 + 3252908^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4235383709 + ... + 4235386308.

Almost surely, 2^{11012001022100} is an apocalyptic number.

11012001022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012001022100 is an abundant number, since it is smaller than the sum of its proper divisors (14722198292584).

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

11012001022100 is a wasteful number, since it uses less digits than its factorization.

11012001022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470770044 (or 8470770037 counting only the distinct ones).

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

Adding to 11012001022100 its reverse (122010021011), we get a palindrome (11134011043111).

The spelling of 11012001022100 in words is "eleven trillion, twelve billion, one million, twenty-two thousand, one hundred".