10011011201201 has 16 divisors (see below), whose sum is σ = 10566513469440. Its totient is φ = 9458374763520.

The previous prime is 10011011201197. The next prime is 10011011201273. The reversal of 10011011201201 is 10210211011001.

It is not a de Polignac number, because 10011011201201 - 2² = 10011011201197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011011201281) 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, 75855011 + ... + 75986871.

It is an arithmetic number, because the mean of its divisors is an integer number (660407091840).

Almost surely, 2^{10011011201201} is an apocalyptic number.

It is an amenable number.

10011011201201 is a deficient number, since it is larger than the sum of its proper divisors (555502268239).

10011011201201 is a wasteful number, since it uses less digits than its factorization.

10011011201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142696.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011011201201 its reverse (10210211011001), we get a palindrome (20221222212202).

The spelling of 10011011201201 in words is "ten trillion, eleven billion, eleven million, two hundred one thousand, two hundred one".