12101102101 has 4 divisors (see below), whose sum is σ = 13201202304. Its totient is φ = 11001001900.

The previous prime is 12101102089. The next prime is 12101102119. The reversal of 12101102101 is 10120110121.

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, and also an emirpimes, since its reverse is a distinct semiprime: 10120110121 = 11 ⋅920010011.

It is a cyclic number.

It is not a de Polignac number, because 12101102101 - 2⁹ = 12101101589 is a prime.

It is a super-2 number, since 2×12101102101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101102801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550050085 + ... + 550050106.

It is an arithmetic number, because the mean of its divisors is an integer number (3300300576).

Almost surely, 2^12101102101 is an apocalyptic number.

12101102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101102101 is a deficient number, since it is larger than the sum of its proper divisors (1100100203).

12101102101 is a wasteful number, since it uses less digits than its factorization.

12101102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100100202.

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

Adding to 12101102101 its reverse (10120110121), we get a palindrome (22221212222).

The spelling of 12101102101 in words is "twelve billion, one hundred one million, one hundred two thousand, one hundred one".