100111202110101 has 96 divisors (see below), whose sum is σ = 167864285648640. Its totient is φ = 52756142068224.

The previous prime is 100111202110091. The next prime is 100111202110109. The reversal of 100111202110101 is 101011202111001.

100111202110101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100111202110101 - 2¹⁴ = 100111202093717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111202110109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700629201 + ... + 700772073.

It is an arithmetic number, because the mean of its divisors is an integer number (1748586308840).

Almost surely, 2^{100111202110101} is an apocalyptic number.

It is an amenable number.

100111202110101 is a deficient number, since it is larger than the sum of its proper divisors (67753083538539).

100111202110101 is an equidigital number, since it uses as much as digits as its factorization.

100111202110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143993 (or 143965 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111202110101 its reverse (101011202111001), we get a palindrome (201122404221102).

The spelling of 100111202110101 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, one hundred ten thousand, one hundred one".