1020111400 has 144 divisors (see below), whose sum is σ = 3010119840. Its totient is φ = 317923200.

The previous prime is 1020111353. The next prime is 1020111419. The reversal of 1020111400 is 41110201.

1020111400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103069 + ... + 112531.

It is an arithmetic number, because the mean of its divisors is an integer number (20903610).

Almost surely, 2^1020111400 is an apocalyptic number.

1020111400 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 1020111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505059920).

1020111400 is an abundant number, since it is smaller than the sum of its proper divisors (1990008440).

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

1020111400 is a wasteful number, since it uses less digits than its factorization.

1020111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1020111400 is about 31939.1828323769. The cubic root of 1020111400 is about 1006.6593545561.

Adding to 1020111400 its reverse (41110201), we get a palindrome (1061221601).

The spelling of 1020111400 in words is "one billion, twenty million, one hundred eleven thousand, four hundred".