107012120001101 has 12 divisors (see below), whose sum is σ = 124561240206300. Its totient is φ = 91667382105600.

The previous prime is 107012120001041. The next prime is 107012120001107. The reversal of 107012120001101 is 101100021210701.

It can be written as a sum of positive squares in 2 ways, for example, as 77377444638025 + 29634675363076 = 8796445^2 + 5443774^2 .

It is not a de Polignac number, because 107012120001101 - 2⁴⁶ = 36643375823437 is a prime.

It is a super-2 number, since 2×107012120001101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107012120001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107012120001107) 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, 681970526 + ... + 682127423.

It is an arithmetic number, because the mean of its divisors is an integer number (10380103350525).

Almost surely, 2^{107012120001101} is an apocalyptic number.

It is an amenable number.

107012120001101 is a deficient number, since it is larger than the sum of its proper divisors (17549120205199).

107012120001101 is a wasteful number, since it uses less digits than its factorization.

107012120001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364099564 (or 1364099557 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 107012120001101 its reverse (101100021210701), we get a palindrome (208112141211802).

The spelling of 107012120001101 in words is "one hundred seven trillion, twelve billion, one hundred twenty million, one thousand, one hundred one".