1021103102000 has 80 divisors (see below), whose sum is σ = 2469926066400. Its totient is φ = 408292563200.

The previous prime is 1021103101979. The next prime is 1021103102011. The reversal of 1021103102000 is 2013011201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5486471 + ... + 5669529.

It is an arithmetic number, because the mean of its divisors is an integer number (30874075830).

Almost surely, 2^{1021103102000} is an apocalyptic number.

1021103102000 is a gapful number since it is divisible by the number (10) 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 1021103102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234963033200).

1021103102000 is an abundant number, since it is smaller than the sum of its proper divisors (1448822964400).

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

1021103102000 is a wasteful number, since it uses less digits than its factorization.

1021103102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185871 (or 185855 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1021103102000 its reverse (2013011201), we get a palindrome (1023116113201).

The spelling of 1021103102000 in words is "one trillion, twenty-one billion, one hundred three million, one hundred two thousand".