10115700206601 has 32 divisors (see below), whose sum is σ = 14803325013888. Its totient is φ = 6093507133440.

The previous prime is 10115700206539. The next prime is 10115700206609. The reversal of 10115700206601 is 10660200751101.

It is not a de Polignac number, because 10115700206601 - 2²² = 10115696012297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10115700206609) 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 31 ways as a sum of consecutive naturals, for example, 2570841 + ... + 5180793.

It is an arithmetic number, because the mean of its divisors is an integer number (462603906684).

Almost surely, 2^{10115700206601} is an apocalyptic number.

10115700206601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10115700206601 is a deficient number, since it is larger than the sum of its proper divisors (4687624807287).

10115700206601 is a wasteful number, since it uses less digits than its factorization.

10115700206601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610681.

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 10115700206601 its reverse (10660200751101), we get a palindrome (20775900957702).

It can be divided in two parts, 10115700 and 206601, that added together give a palindrome (10322301).

The spelling of 10115700206601 in words is "ten trillion, one hundred fifteen billion, seven hundred million, two hundred six thousand, six hundred one".