1020112000200 has 288 divisors, whose sum is σ = 3527333957160. Its totient is φ = 264010752000.

The previous prime is 1020112000153. The next prime is 1020112000273. The reversal of 1020112000200 is 20002110201.

1020112000200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 464815787076 + 555296213124 = 681774^2 + 745182^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26687502 + ... + 26725698.

Almost surely, 2^{1020112000200} is an apocalyptic number.

1020112000200 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 1020112000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763666978580).

1020112000200 is an abundant number, since it is smaller than the sum of its proper divisors (2507221956960).

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

1020112000200 is a wasteful number, since it uses less digits than its factorization.

1020112000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38657 (or 38645 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020112000200 its reverse (20002110201), we get a palindrome (1040114110401).

The spelling of 1020112000200 in words is "one trillion, twenty billion, one hundred twelve million, two hundred", and thus it is an aban number.