1102102121112 has 64 divisors (see below), whose sum is σ = 2966775465600. Its totient is φ = 339897223680.

The previous prime is 1102102121101. The next prime is 1102102121149. The reversal of 1102102121112 is 2111212012011.

It is a happy number.

It is a super-2 number, since 2×1102102121112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102102121091 and 1102102121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22867714 + ... + 22915857.

It is an arithmetic number, because the mean of its divisors is an integer number (46355866650).

Almost surely, 2^{1102102121112} is an apocalyptic number.

1102102121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102102121112 is an abundant number, since it is smaller than the sum of its proper divisors (1864673344488).

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

1102102121112 is a wasteful number, since it uses less digits than its factorization.

1102102121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45783656 (or 45783652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1102102121112 its reverse (2111212012011), we get a palindrome (3213314133123).

It can be divided in two parts, 110210 and 2121112, that added together give a palindrome (2231322).

The spelling of 1102102121112 in words is "one trillion, one hundred two billion, one hundred two million, one hundred twenty-one thousand, one hundred twelve".