10102404000 has 384 divisors, whose sum is σ = 36808611840. Its totient is φ = 2405376000.

The previous prime is 10102403999. The next prime is 10102404001. The reversal of 10102404000 is 40420101.

It is an interprime number because it is at equal distance from previous prime (10102403999) and next prime (10102404001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10102404001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4834956 + ... + 4837044.

It is an arithmetic number, because the mean of its divisors is an integer number (95855760).

Almost surely, 2^10102404000 is an apocalyptic number.

10102404000 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 10102404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404305920).

10102404000 is an abundant number, since it is smaller than the sum of its proper divisors (26706207840).

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

10102404000 is a wasteful number, since it uses less digits than its factorization.

10102404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10102404000 its reverse (40420101), we get a palindrome (10142824101).

The spelling of 10102404000 in words is "ten billion, one hundred two million, four hundred four thousand".