1102131021012 has 192 divisors, whose sum is σ = 3106640646144. Its totient is φ = 297310970880.

The previous prime is 1102131020983. The next prime is 1102131021161. The reversal of 1102131021012 is 2101201312011.

It is a junction number, because it is equal to n+sod(n) for n = 1102131020982 and 1102131021000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58079958 + ... + 58098930.

It is an arithmetic number, because the mean of its divisors is an integer number (16180420032).

Almost surely, 2^{1102131021012} is an apocalyptic number.

1102131021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102131021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553320323072).

1102131021012 is an abundant number, since it is smaller than the sum of its proper divisors (2004509625132).

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

1102131021012 is a wasteful number, since it uses less digits than its factorization.

1102131021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19398 (or 19396 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1102131021012 its reverse (2101201312011), we get a palindrome (3203332333023).

The spelling of 1102131021012 in words is "one trillion, one hundred two billion, one hundred thirty-one million, twenty-one thousand, twelve".