10400101300 has 72 divisors (see below), whose sum is σ = 23114270592. Its totient is φ = 4060560000.

The previous prime is 10400101289. The next prime is 10400101301. The reversal of 10400101300 is 310100401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400101301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709849 + ... + 724351.

It is an arithmetic number, because the mean of its divisors is an integer number (321031536).

Almost surely, 2^10400101300 is an apocalyptic number.

10400101300 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 10400101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557135296).

10400101300 is an abundant number, since it is smaller than the sum of its proper divisors (12714169292).

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

10400101300 is a wasteful number, since it uses less digits than its factorization.

10400101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14689 (or 14682 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10400101300 its reverse (310100401), we get a palindrome (10710201701).

It can be divided in two parts, 10400101 and 300, that added together give a palindrome (10400401).

The spelling of 10400101300 in words is "ten billion, four hundred million, one hundred one thousand, three hundred".