10011220121001 has 16 divisors (see below), whose sum is σ = 14634949478400. Its totient is φ = 6036916651920.

The previous prime is 10011220120949. The next prime is 10011220121017. The reversal of 10011220121001 is 10012102211001.

It is not a de Polignac number, because 10011220121001 - 2⁷ = 10011220120873 is a prime.

It is a super-3 number, since 3×10011220121001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10011220121041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762230385 + ... + 762243518.

It is an arithmetic number, because the mean of its divisors is an integer number (914684342400).

Almost surely, 2^{10011220121001} is an apocalyptic number.

10011220121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011220121001 is a deficient number, since it is larger than the sum of its proper divisors (4623729357399).

10011220121001 is a wasteful number, since it uses less digits than its factorization.

10011220121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524474116.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011220121001 its reverse (10012102211001), we get a palindrome (20023322332002).

Subtracting 10011220121001 from its reverse (10012102211001), we obtain a square (882090000 = 29700²).

The spelling of 10011220121001 in words is "ten trillion, eleven billion, two hundred twenty million, one hundred twenty-one thousand, one".