1010210400 has 144 divisors (see below), whose sum is σ = 3653672400. Its totient is φ = 269383680.

The previous prime is 1010210387. The next prime is 1010210417. The reversal of 1010210400 is 40120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1785 + ... + 44984.

It is an arithmetic number, because the mean of its divisors is an integer number (25372725).

Almost surely, 2^1010210400 is an apocalyptic number.

1010210400 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 1010210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826836200).

1010210400 is an abundant number, since it is smaller than the sum of its proper divisors (2643462000).

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

1010210400 is a wasteful number, since it uses less digits than its factorization.

1010210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46798 (or 46779 counting only the distinct ones).

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

The square root of 1010210400 is about 31783.8071980057. The cubic root of 1010210400 is about 1003.3919483446.

Adding to 1010210400 its reverse (40120101), we get a palindrome (1050330501).

It can be divided in two parts, 10102 and 10400, that added together give a palindrome (20502).

The spelling of 1010210400 in words is "one billion, ten million, two hundred ten thousand, four hundred".