100102004134301 has 12 divisors (see below), whose sum is σ = 108657678165372. Its totient is φ = 91674276156288.

The previous prime is 100102004134243. The next prime is 100102004134309. The reversal of 100102004134301 is 103431400201001.

It can be written as a sum of positive squares in 2 ways, for example, as 33545352667225 + 66556651467076 = 5791835^2 + 8158226^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100102004134301 is a prime.

It is a super-2 number, since 2×100102004134301² (a number of 29 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 (100102004134309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238495580 + ... + 238914933.

It is an arithmetic number, because the mean of its divisors is an integer number (9054806513781).

Almost surely, 2^{100102004134301} is an apocalyptic number.

It is an amenable number.

100102004134301 is a deficient number, since it is larger than the sum of its proper divisors (8555674031071).

100102004134301 is an equidigital number, since it uses as much as digits as its factorization.

100102004134301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477410780 (or 477410653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100102004134301 its reverse (103431400201001), we get a palindrome (203533404335302).

The spelling of 100102004134301 in words is "one hundred trillion, one hundred two billion, four million, one hundred thirty-four thousand, three hundred one".