1011122120001 has 32 divisors (see below), whose sum is σ = 1576949096448. Its totient is φ = 564218363520.

The previous prime is 1011122119967. The next prime is 1011122120003. The reversal of 1011122120001 is 1000212211101.

1011122120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011122120001 - 2¹¹ = 1011122117953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011122120003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3899056 + ... + 4150286.

It is an arithmetic number, because the mean of its divisors is an integer number (49279659264).

Almost surely, 2^{1011122120001} is an apocalyptic number.

It is an amenable number.

1011122120001 is a deficient number, since it is larger than the sum of its proper divisors (565826976447).

1011122120001 is a wasteful number, since it uses less digits than its factorization.

1011122120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255741.

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

Adding to 1011122120001 its reverse (1000212211101), we get a palindrome (2011334331102).

The spelling of 1011122120001 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred twenty thousand, one".