101110121100101 has 4 divisors (see below), whose sum is σ = 101544070117932. Its totient is φ = 100676172082272.

The previous prime is 101110121099983. The next prime is 101110121100133. The reversal of 101110121100101 is 101001121011101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 14617424079076 + 86492697021025 = 3823274^2 + 9300145^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110121100101 - 2²² = 101110116905797 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 (101110121100601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216974508566 + ... + 216974509031.

It is an arithmetic number, because the mean of its divisors is an integer number (25386017529483).

Almost surely, 2^{101110121100101} is an apocalyptic number.

It is an amenable number.

101110121100101 is a deficient number, since it is larger than the sum of its proper divisors (433949017831).

101110121100101 is an equidigital number, since it uses as much as digits as its factorization.

101110121100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433949017830.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101110121100101 its reverse (101001121011101), we get a palindrome (202111242111202).

The spelling of 101110121100101 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-one million, one hundred thousand, one hundred one".