100001010111101 has 192 divisors, whose sum is σ = 120352970140416. Its totient is φ = 82355263488000.

The previous prime is 100001010111097. The next prime is 100001010111131. The reversal of 100001010111101 is 101111010100001.

It is not a de Polignac number, because 100001010111101 - 2² = 100001010111097 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 (100001010111131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429188884481 + ... + 429188884713.

It is an arithmetic number, because the mean of its divisors is an integer number (626838386148).

Almost surely, 2^{100001010111101} is an apocalyptic number.

100001010111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001010111101 is a deficient number, since it is larger than the sum of its proper divisors (20351960029315).

100001010111101 is a wasteful number, since it uses less digits than its factorization.

100001010111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100001010111101 its reverse (101111010100001), we get a palindrome (201112020211102).

It can be divided in two parts, 1000010 and 10111101, that added together give a palindrome (11111111).

The spelling of 100001010111101 in words is "one hundred trillion, one billion, ten million, one hundred eleven thousand, one hundred one".