1020110122011 has 32 divisors (see below), whose sum is σ = 1369705792000. Its totient is φ = 675315325440.

The previous prime is 1020110121983. The next prime is 1020110122019. The reversal of 1020110122011 is 1102210110201.

1020110122011 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 1020110122011 - 2¹⁰ = 1020110120987 is a prime.

It is a super-4 number, since 4×1020110122011⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020110122019) 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, 557131866 + ... + 557133696.

It is an arithmetic number, because the mean of its divisors is an integer number (42803306000).

Almost surely, 2^{1020110122011} is an apocalyptic number.

1020110122011 is a deficient number, since it is larger than the sum of its proper divisors (349595669989).

1020110122011 is a wasteful number, since it uses less digits than its factorization.

1020110122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099.

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

Adding to 1020110122011 its reverse (1102210110201), we get a palindrome (2122320232212).

The spelling of 1020110122011 in words is "one trillion, twenty billion, one hundred ten million, one hundred twenty-two thousand, eleven".