100101201110101 has 8 divisors (see below), whose sum is σ = 105990348446784. Its totient is φ = 94212147261120.

The previous prime is 100101201110093. The next prime is 100101201110137. The reversal of 100101201110101 is 101011102101001.

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

It is not a de Polignac number, because 100101201110101 - 2³ = 100101201110093 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 (100101201116101) 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, 21161475 + ... + 25456048.

It is an arithmetic number, because the mean of its divisors is an integer number (13248793555848).

Almost surely, 2^{100101201110101} is an apocalyptic number.

It is an amenable number.

100101201110101 is a deficient number, since it is larger than the sum of its proper divisors (5889147336683).

100101201110101 is a wasteful number, since it uses less digits than its factorization.

100101201110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46743851.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100101201110101 its reverse (101011102101001), we get a palindrome (201112303211102).

The spelling of 100101201110101 in words is "one hundred trillion, one hundred one billion, two hundred one million, one hundred ten thousand, one hundred one".