101101021102121 has 4 divisors (see below), whose sum is σ = 101101184365200. Its totient is φ = 101100857839044.

The previous prime is 101101021102079. The next prime is 101101021102153. The reversal of 101101021102121 is 121201120101101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101101021102121 - 2¹⁰ = 101101021101097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101021102096 and 101101021102105.

It is not an unprimeable number, because it can be changed into a prime (101101021102321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80699111 + ... + 81942348.

It is an arithmetic number, because the mean of its divisors is an integer number (25275296091300).

Almost surely, 2^{101101021102121} is an apocalyptic number.

It is an amenable number.

101101021102121 is a deficient number, since it is larger than the sum of its proper divisors (163263079).

101101021102121 is an equidigital number, since it uses as much as digits as its factorization.

101101021102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163263078.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101101021102121 its reverse (121201120101101), we get a palindrome (222302141203222).

The spelling of 101101021102121 in words is "one hundred one trillion, one hundred one billion, twenty-one million, one hundred two thousand, one hundred twenty-one".