10345401100101 has 8 divisors (see below), whose sum is σ = 14269518758880. Its totient is φ = 6659108754032.

The previous prime is 10345401099997. The next prime is 10345401100103. The reversal of 10345401100101 is 10100110454301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10345401100101 - 2²¹ = 10345399002949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345401100103) 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 7 ways as a sum of consecutive naturals, for example, 59456328075 + ... + 59456328248.

It is an arithmetic number, because the mean of its divisors is an integer number (1783689844860).

Almost surely, 2^{10345401100101} is an apocalyptic number.

It is an amenable number.

10345401100101 is a deficient number, since it is larger than the sum of its proper divisors (3924117658779).

10345401100101 is a wasteful number, since it uses less digits than its factorization.

10345401100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118912656355.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10345401100101 its reverse (10100110454301), we get a palindrome (20445511554402).

The spelling of 10345401100101 in words is "ten trillion, three hundred forty-five billion, four hundred one million, one hundred thousand, one hundred one".