10300012000 has 96 divisors (see below), whose sum is σ = 25476220224. Its totient is φ = 4092480000.

The previous prime is 10300011973. The next prime is 10300012001. The reversal of 10300012000 is 21000301.

It is a super-3 number, since 3×10300012000³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595474 + ... + 612526.

It is an arithmetic number, because the mean of its divisors is an integer number (265377294).

Almost surely, 2^10300012000 is an apocalyptic number.

10300012000 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 10300012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738110112).

10300012000 is an abundant number, since it is smaller than the sum of its proper divisors (15176208224).

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

10300012000 is a wasteful number, since it uses less digits than its factorization.

10300012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10300012000 its reverse (21000301), we get a palindrome (10321012301).

The spelling of 10300012000 in words is "ten billion, three hundred million, twelve thousand".