100120001311311 has 16 divisors (see below), whose sum is σ = 133957536185088. Its totient is φ = 66514662345600.

The previous prime is 100120001311283. The next prime is 100120001311387. The reversal of 100120001311311 is 113113100021001.

It is not a de Polignac number, because 100120001311311 - 2¹⁴ = 100120001294927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120001311391) 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 15 ways as a sum of consecutive naturals, for example, 7716435 + ... + 16117796.

It is an arithmetic number, because the mean of its divisors is an integer number (8372346011568).

Almost surely, 2^{100120001311311} is an apocalyptic number.

100120001311311 is a deficient number, since it is larger than the sum of its proper divisors (33837534873777).

100120001311311 is a wasteful number, since it uses less digits than its factorization.

100120001311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839102.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100120001311311 its reverse (113113100021001), we get a palindrome (213233101332312).

The spelling of 100120001311311 in words is "one hundred trillion, one hundred twenty billion, one million, three hundred eleven thousand, three hundred eleven".