100101011120101 has 48 divisors (see below), whose sum is σ = 111254123514240. Its totient is φ = 89637756278400.

The previous prime is 100101011120093. The next prime is 100101011120153. The reversal of 100101011120101 is 101021110101001.

It is not a de Polignac number, because 100101011120101 - 2³ = 100101011120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011120171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56907907660 + ... + 56907909418.

It is an arithmetic number, because the mean of its divisors is an integer number (2317794239880).

Almost surely, 2^{100101011120101} is an apocalyptic number.

It is an amenable number.

100101011120101 is a deficient number, since it is larger than the sum of its proper divisors (11153112394139).

100101011120101 is an equidigital number, since it uses as much as digits as its factorization.

100101011120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 2635 counting only the distinct ones).

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

Adding to 100101011120101 its reverse (101021110101001), we get a palindrome (201122121221102).

The spelling of 100101011120101 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred twenty thousand, one hundred one".