100010100011101 has 8 divisors (see below), whose sum is σ = 114704008962624. Its totient is φ = 85417879011360.

The previous prime is 100010100011047. The next prime is 100010100011119. The reversal of 100010100011101 is 101110001010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100010100011101 - 2¹⁷ = 100010099880029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100011201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25421985835 + ... + 25421989768.

It is an arithmetic number, because the mean of its divisors is an integer number (14338001120328).

Almost surely, 2^{100010100011101} is an apocalyptic number.

It is an amenable number.

100010100011101 is a deficient number, since it is larger than the sum of its proper divisors (14693908951523).

100010100011101 is an equidigital number, since it uses as much as digits as its factorization.

100010100011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50843975891.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010100011101 its reverse (101110001010001), we get a palindrome (201120101021102).

The spelling of 100010100011101 in words is "one hundred trillion, ten billion, one hundred million, eleven thousand, one hundred one".