1102300013100 has 144 divisors (see below), whose sum is σ = 3746895183360. Its totient is φ = 246668524800.

The previous prime is 1102300013083. The next prime is 1102300013107. The reversal of 1102300013100 is 13100032011.

It is a super-3 number, since 3×1102300013100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1102300013107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12804420 + ... + 12890219.

It is an arithmetic number, because the mean of its divisors is an integer number (26020105440).

Almost surely, 2^{1102300013100} is an apocalyptic number.

1102300013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102300013100 is an abundant number, since it is smaller than the sum of its proper divisors (2644595170260).

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

1102300013100 is a wasteful number, since it uses less digits than its factorization.

1102300013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694680 (or 25694673 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1102300013100 its reverse (13100032011), we get a palindrome (1115400045111).

The spelling of 1102300013100 in words is "one trillion, one hundred two billion, three hundred million, thirteen thousand, one hundred".