101111012120011 has 8 divisors (see below), whose sum is σ = 103291721501184. Its totient is φ = 98931528207720.

The previous prime is 101111012120009. The next prime is 101111012120021. The reversal of 101111012120011 is 110021210111101.

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

It is a cyclic number.

It is not a de Polignac number, because 101111012120011 - 2¹ = 101111012120009 is a prime.

It is a super-2 number, since 2×101111012120011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111012119973 and 101111012120000.

It is not an unprimeable number, because it can be changed into a prime (101111012120021) 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, 306200425 + ... + 306530458.

It is an arithmetic number, because the mean of its divisors is an integer number (12911465187648).

Almost surely, 2^{101111012120011} is an apocalyptic number.

101111012120011 is a deficient number, since it is larger than the sum of its proper divisors (2180709381173).

101111012120011 is an equidigital number, since it uses as much as digits as its factorization.

101111012120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612734441.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101111012120011 its reverse (110021210111101), we get a palindrome (211132222231112).

The spelling of 101111012120011 in words is "one hundred one trillion, one hundred eleven billion, twelve million, one hundred twenty thousand, eleven".