100120312131211 has 24 divisors (see below), whose sum is σ = 106776576635904. Its totient is φ = 93860047358640.

The previous prime is 100120312131149. The next prime is 100120312131283. The reversal of 100120312131211 is 112131213021001.

It is not a de Polignac number, because 100120312131211 - 2¹⁹ = 100120311606923 is a prime.

It is a super-2 number, since 2×100120312131211² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120312131611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9720396 + ... + 17167606.

It is an arithmetic number, because the mean of its divisors is an integer number (4449024026496).

Almost surely, 2^{100120312131211} is an apocalyptic number.

100120312131211 is a deficient number, since it is larger than the sum of its proper divisors (6656264504693).

100120312131211 is a wasteful number, since it uses less digits than its factorization.

100120312131211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7447639 (or 7447620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 100120312131211 its reverse (112131213021001), we get a palindrome (212251525152212).

The spelling of 100120312131211 in words is "one hundred trillion, one hundred twenty billion, three hundred twelve million, one hundred thirty-one thousand, two hundred eleven".