1101056050401 has 32 divisors (see below), whose sum is σ = 1503979975680. Its totient is φ = 716337255744.

The previous prime is 1101056050399. The next prime is 1101056050411. The reversal of 1101056050401 is 1040506501011.

It is not a de Polignac number, because 1101056050401 - 2¹ = 1101056050399 is a prime.

It is a super-3 number, since 3×1101056050401³ (a number of 37 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 (1101056050411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10127790 + ... + 10235928.

It is an arithmetic number, because the mean of its divisors is an integer number (46999374240).

Almost surely, 2^{1101056050401} is an apocalyptic number.

It is an amenable number.

1101056050401 is a deficient number, since it is larger than the sum of its proper divisors (402923925279).

1101056050401 is a wasteful number, since it uses less digits than its factorization.

1101056050401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108725.

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 1101056050401 in words is "one trillion, one hundred one billion, fifty-six million, fifty thousand, four hundred one".