100001120101211 has 24 divisors (see below), whose sum is σ = 123172108217136. Its totient is φ = 80672215680000.

The previous prime is 100001120101193. The next prime is 100001120101247. The reversal of 100001120101211 is 112101021100001.

It is not a de Polignac number, because 100001120101211 - 2²² = 100001115906907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001120101192 and 100001120101201.

It is not an unprimeable number, because it can be changed into a prime (100001120101291) 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, 74303900 + ... + 75637766.

It is an arithmetic number, because the mean of its divisors is an integer number (5132171175714).

Almost surely, 2^{100001120101211} is an apocalyptic number.

100001120101211 is a deficient number, since it is larger than the sum of its proper divisors (23170988115925).

100001120101211 is a wasteful number, since it uses less digits than its factorization.

100001120101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423899 (or 1423892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100001120101211 its reverse (112101021100001), we get a palindrome (212102141201212).

The spelling of 100001120101211 in words is "one hundred trillion, one billion, one hundred twenty million, one hundred one thousand, two hundred eleven".