1011100202000 has 320 divisors, whose sum is σ = 2861008550400. Its totient is φ = 345461760000.

The previous prime is 1011100201987. The next prime is 1011100202023. The reversal of 1011100202000 is 2020011101.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 63 ways as a sum of consecutive naturals, for example, 210599600 + ... + 210604400.

It is an arithmetic number, because the mean of its divisors is an integer number (8940651720).

Almost surely, 2^{1011100202000} is an apocalyptic number.

1011100202000 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 1011100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430504275200).

1011100202000 is an abundant number, since it is smaller than the sum of its proper divisors (1849908348400).

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

1011100202000 is an equidigital number, since it uses as much as digits as its factorization.

1011100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1011100202000 its reverse (2020011101), we get a palindrome (1013120213101).

The spelling of 1011100202000 in words is "one trillion, eleven billion, one hundred million, two hundred two thousand".