1020114000 has 240 divisors, whose sum is σ = 3696638400. Its totient is φ = 271900800.

The previous prime is 1020113987. The next prime is 1020114023. The reversal of 1020114000 is 4110201.

It is a happy number.

1020114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484951 + ... + 487049.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 2^1020114000 is an apocalyptic number.

1020114000 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 1020114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848319200).

1020114000 is an abundant number, since it is smaller than the sum of its proper divisors (2676524400).

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

1020114000 is an equidigital number, since it uses as much as digits as its factorization.

1020114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2109 counting only the distinct ones).

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

The square root of 1020114000 is about 31939.2235347073. The cubic root of 1020114000 is about 1006.6602097934.

Adding to 1020114000 its reverse (4110201), we get a palindrome (1024224201).

The spelling of 1020114000 in words is "one billion, twenty million, one hundred fourteen thousand".