100120133212117 has 2 divisors, whose sum is σ = 100120133212118. Its totient is φ = 100120133212116.

The previous prime is 100120133212061. The next prime is 100120133212303. The reversal of 100120133212117 is 711212331021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81434994449956 + 18685138762161 = 9024134^2 + 4322631^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120133212117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120133212091 and 100120133212100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120133212417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060066606058 + 50060066606059.

It is an arithmetic number, because the mean of its divisors is an integer number (50060066606059).

Almost surely, 2^{100120133212117} is an apocalyptic number.

It is an amenable number.

100120133212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120133212117 is an equidigital number, since it uses as much as digits as its factorization.

100120133212117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 100120133212117 its reverse (711212331021001), we get a palindrome (811332464233118).

The spelling of 100120133212117 in words is "one hundred trillion, one hundred twenty billion, one hundred thirty-three million, two hundred twelve thousand, one hundred seventeen".