10107000400101 has 64 divisors (see below), whose sum is σ = 15975683481600. Its totient is φ = 5615282534400.

The previous prime is 10107000400087. The next prime is 10107000400103. The reversal of 10107000400101 is 10100400070101.

It is not a de Polignac number, because 10107000400101 - 2⁷ = 10107000399973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107000400103) 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 63 ways as a sum of consecutive naturals, for example, 242883385 + ... + 242924993.

It is an arithmetic number, because the mean of its divisors is an integer number (249620054400).

Almost surely, 2^{10107000400101} is an apocalyptic number.

10107000400101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10107000400101 is a deficient number, since it is larger than the sum of its proper divisors (5868683081499).

10107000400101 is a wasteful number, since it uses less digits than its factorization.

10107000400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54170.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 10107000400101 its reverse (10100400070101), we get a palindrome (20207400470202).

The spelling of 10107000400101 in words is "ten trillion, one hundred seven billion, four hundred thousand, one hundred one".