100101121111101 has 32 divisors (see below), whose sum is σ = 154844924774400. Its totient is φ = 56881809031680.

The previous prime is 100101121111073. The next prime is 100101121111157. The reversal of 100101121111101 is 101111121101001.

It is not a de Polignac number, because 100101121111101 - 2¹⁵ = 100101121078333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101121110101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822882021 + ... + 823003658.

It is an arithmetic number, because the mean of its divisors is an integer number (4838903899200).

Almost surely, 2^{100101121111101} is an apocalyptic number.

100101121111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101121111101 is a deficient number, since it is larger than the sum of its proper divisors (54743803663299).

100101121111101 is a wasteful number, since it uses less digits than its factorization.

100101121111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645885809.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100101121111101 its reverse (101111121101001), we get a palindrome (201212242212102).

The spelling of 100101121111101 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".