10400121303 has 32 divisors (see below), whose sum is σ = 16298295552. Its totient is φ = 5815680000.

The previous prime is 10400121271. The next prime is 10400121311. The reversal of 10400121303 is 30312100401.

It is not a de Polignac number, because 10400121303 - 2⁵ = 10400121271 is a prime.

It is a super-2 number, since 2×10400121303² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400121503) 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 31 ways as a sum of consecutive naturals, for example, 1390951 + ... + 1398407.

It is an arithmetic number, because the mean of its divisors is an integer number (509321736).

Almost surely, 2^10400121303 is an apocalyptic number.

10400121303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10400121303 is a deficient number, since it is larger than the sum of its proper divisors (5898174249).

10400121303 is a wasteful number, since it uses less digits than its factorization.

10400121303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400121303 its reverse (30312100401), we get a palindrome (40712221704).

The spelling of 10400121303 in words is "ten billion, four hundred million, one hundred twenty-one thousand, three hundred three".