1020110002000 has 80 divisors (see below), whose sum is σ = 2467298667600. Its totient is φ = 407932723200.

The previous prime is 1020110001991. The next prime is 1020110002027. The reversal of 1020110002000 is 2000110201.

1020110002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 200621576464 + 819488425536 = 447908^2 + 905256^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7470336 + ... + 7605664.

It is an arithmetic number, because the mean of its divisors is an integer number (30841233345).

Almost surely, 2^{1020110002000} is an apocalyptic number.

1020110002000 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 1020110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233649333800).

1020110002000 is an abundant number, since it is smaller than the sum of its proper divisors (1447188665600).

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

1020110002000 is a wasteful number, since it uses less digits than its factorization.

1020110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139121 (or 139105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020110002000 its reverse (2000110201), we get a palindrome (1022110112201).

The spelling of 1020110002000 in words is "one trillion, twenty billion, one hundred ten million, two thousand".