100101011111101 has 128 divisors (see below), whose sum is σ = 138104361787392. Its totient is φ = 70046000640000.

The previous prime is 100101011110951. The next prime is 100101011111107. The reversal of 100101011111101 is 101111110101001.

It is a happy number.

It is not a de Polignac number, because 100101011111101 - 2¹⁷ = 100101010980029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011111107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5055341401 + ... + 5055361201.

It is an arithmetic number, because the mean of its divisors is an integer number (1078940326464).

Almost surely, 2^{100101011111101} is an apocalyptic number.

100101011111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101011111101 is a deficient number, since it is larger than the sum of its proper divisors (38003350676291).

100101011111101 is a wasteful number, since it uses less digits than its factorization.

100101011111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20843.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100101011111101 its reverse (101111110101001), we get a palindrome (201212121212102).

The spelling of 100101011111101 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred eleven thousand, one hundred one".