10011200211001 has 8 divisors (see below), whose sum is σ = 10922510762208. Its totient is φ = 9100089900000.

The previous prime is 10011200210971. The next prime is 10011200211109.

10011200211001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10011200211001 - 2¹⁵ = 10011200178233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011200211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49955500 + ... + 50155501.

It is an arithmetic number, because the mean of its divisors is an integer number (1365313845276).

Almost surely, 2^{10011200211001} is an apocalyptic number.

10011200211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011200211001 is a deficient number, since it is larger than the sum of its proper divisors (911310551207).

10011200211001 is a wasteful number, since it uses less digits than its factorization.

10011200211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100120103.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 10011200 and 211001, that added together give a palindrome (10222201).

The spelling of 10011200211001 in words is "ten trillion, eleven billion, two hundred million, two hundred eleven thousand, one".