100101104101 has 2 divisors, whose sum is σ = 100101104102. Its totient is φ = 100101104100.

The previous prime is 100101104087. The next prime is 100101104143. The reversal of 100101104101 is 101401101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93421311201 + 6679792900 = 305649^2 + 81730^2 .

It is an emirp because it is prime and its reverse (101401101001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101104101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101104161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050552050 + 50050552051.

It is an arithmetic number, because the mean of its divisors is an integer number (50050552051).

Almost surely, 2^100101104101 is an apocalyptic number.

It is an amenable number.

100101104101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101104101 is an equidigital number, since it uses as much as digits as its factorization.

100101104101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101104101 its reverse (101401101001), we get a palindrome (201502205102).

It can be divided in two parts, 10010 and 1104101, that added together give a palindrome (1114111).

The spelling of 100101104101 in words is "one hundred billion, one hundred one million, one hundred four thousand, one hundred one".