10188988988101 has 16 divisors (see below), whose sum is σ = 12733328907648. Its totient is φ = 7920613310400.

The previous prime is 10188988988081. The next prime is 10188988988119.

10188988988101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10188988988101 - 2⁵ = 10188988988069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188988988131) 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, 157122610 + ... + 157187443.

It is an arithmetic number, because the mean of its divisors is an integer number (795833056728).

Almost surely, 2^{10188988988101} is an apocalyptic number.

10188988988101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10188988988101 is a deficient number, since it is larger than the sum of its proper divisors (2544339919547).

10188988988101 is a wasteful number, since it uses less digits than its factorization.

10188988988101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314310492.

The product of its (nonzero) digits is 21233664, while the sum is 70.

The spelling of 10188988988101 in words is "ten trillion, one hundred eighty-eight billion, nine hundred eighty-eight million, nine hundred eighty-eight thousand, one hundred one".