101100311121 has 8 divisors (see below), whose sum is σ = 134803154560. Its totient is φ = 67398837552.

The previous prime is 101100311119. The next prime is 101100311131. The reversal of 101100311121 is 121113001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101100311121 - 2¹ = 101100311119 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101100311097 and 101100311106.

It is not an unprimeable number, because it can be changed into a prime (101100311111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155710 + ... + 475863.

It is an arithmetic number, because the mean of its divisors is an integer number (16850394320).

Almost surely, 2^101100311121 is an apocalyptic number.

It is an amenable number.

101100311121 is a deficient number, since it is larger than the sum of its proper divisors (33702843439).

101100311121 is an equidigital number, since it uses as much as digits as its factorization.

101100311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684935.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101100311121 its reverse (121113001101), we get a palindrome (222213312222).

The spelling of 101100311121 in words is "one hundred one billion, one hundred million, three hundred eleven thousand, one hundred twenty-one".