1101012121110 has 128 divisors (see below), whose sum is σ = 2912358965760. Its totient is φ = 264163328000.

The previous prime is 1101012121057. The next prime is 1101012121123. The reversal of 1101012121110 is 111212101011.

It is a super-2 number, since 2×1101012121110² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110950609 + ... + 110960531.

It is an arithmetic number, because the mean of its divisors is an integer number (22752804420).

Almost surely, 2^{1101012121110} is an apocalyptic number.

1101012121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101012121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456179482880).

1101012121110 is an abundant number, since it is smaller than the sum of its proper divisors (1811346844650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101012121110 is a wasteful number, since it uses less digits than its factorization.

1101012121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374.

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

Adding to 1101012121110 its reverse (111212101011), we get a palindrome (1212224222121).

The spelling of 1101012121110 in words is "one trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, one hundred ten".