1021120111011 has 384 divisors, whose sum is σ = 2022800532480. Its totient is φ = 448693862400.

The previous prime is 1021120110973. The next prime is 1021120111013. The reversal of 1021120111011 is 1101110211201.

It is not a de Polignac number, because 1021120111011 - 2¹⁴ = 1021120094627 is a prime.

It is a super-2 number, since 2×1021120111011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021120111013) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3030029835 + ... + 3030030171.

It is an arithmetic number, because the mean of its divisors is an integer number (5267709720).

Almost surely, 2^{1021120111011} is an apocalyptic number.

1021120111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1021120111011 is a deficient number, since it is larger than the sum of its proper divisors (1001680421469).

1021120111011 is a wasteful number, since it uses less digits than its factorization.

1021120111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1021120111011 its reverse (1101110211201), we get a palindrome (2122230322212).

It can be divided in two parts, 10211201 and 11011, that multiplied together give a palindrome (112435534211).

The spelling of 1021120111011 in words is "one trillion, twenty-one billion, one hundred twenty million, one hundred eleven thousand, eleven".