12120011102101 has 12 divisors (see below), whose sum is σ = 14103044209452. Its totient is φ = 10385445103488.

The previous prime is 12120011102099. The next prime is 12120011102107. The reversal of 12120011102101 is 10120111002121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9032519322225 + 3087491779876 = 3005415^2 + 1757126^2 .

It is not a de Polignac number, because 12120011102101 - 2¹ = 12120011102099 is a prime.

It is a super-2 number, since 2×12120011102101² (a number of 27 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 (12120011102107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37167450 + ... + 37492123.

It is an arithmetic number, because the mean of its divisors is an integer number (1175253684121).

Almost surely, 2^{12120011102101} is an apocalyptic number.

It is an amenable number.

12120011102101 is a deficient number, since it is larger than the sum of its proper divisors (1983033107351).

12120011102101 is an equidigital number, since it uses as much as digits as its factorization.

12120011102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74662900 (or 74662893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12120011102101 its reverse (10120111002121), we get a palindrome (22240122104222).

The spelling of 12120011102101 in words is "twelve trillion, one hundred twenty billion, eleven million, one hundred two thousand, one hundred one".