1010012400 has 180 divisors, whose sum is σ = 3529322472. Its totient is φ = 267471360.

The previous prime is 1010012389. The next prime is 1010012401. The reversal of 1010012400 is 42100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010012401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564307 + ... + 566093.

Almost surely, 2^1010012400 is an apocalyptic number.

1010012400 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 1010012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764661236).

1010012400 is an abundant number, since it is smaller than the sum of its proper divisors (2519310072).

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

1010012400 is a wasteful number, since it uses less digits than its factorization.

1010012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1954 counting only the distinct ones).

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

The square root of 1010012400 is about 31780.6922517430. The cubic root of 1010012400 is about 1003.3263895307.

Adding to 1010012400 its reverse (42100101), we get a palindrome (1052112501).

It can be divided in two parts, 10100 and 12400, that added together give a square (22500 = 150²).

The spelling of 1010012400 in words is "one billion, ten million, twelve thousand, four hundred".