10302400420301 has 16 divisors (see below), whose sum is σ = 11246146265088. Its totient is φ = 9359850332400.

The previous prime is 10302400420283. The next prime is 10302400420339.

10302400420301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10302400420301 - 2²² = 10302396225997 is a prime.

It is a super-2 number, since 2×10302400420301² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302400420801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127643180 + ... + 127723866.

It is an arithmetic number, because the mean of its divisors is an integer number (702884141568).

Almost surely, 2^{10302400420301} is an apocalyptic number.

10302400420301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10302400420301 is a deficient number, since it is larger than the sum of its proper divisors (943745844787).

10302400420301 is a wasteful number, since it uses less digits than its factorization.

10302400420301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87952.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 10302400 and 420301, that added together give a palindrome (10722701).

The spelling of 10302400420301 in words is "ten trillion, three hundred two billion, four hundred million, four hundred twenty thousand, three hundred one".