101120120311 has 8 divisors (see below), whose sum is σ = 115574539680. Its totient is φ = 86667872928.

The previous prime is 101120120293. The next prime is 101120120363. The reversal of 101120120311 is 113021021101.

It is a happy number.

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

It is not a de Polignac number, because 101120120311 - 2⁵ = 101120120279 is a prime.

It is a super-2 number, since 2×101120120311² (a number of 23 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 = 101120120291 and 101120120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120120371) 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 7 ways as a sum of consecutive naturals, for example, 441976 + ... + 630541.

It is an arithmetic number, because the mean of its divisors is an integer number (14446817460).

Almost surely, 2^101120120311 is an apocalyptic number.

101120120311 is a deficient number, since it is larger than the sum of its proper divisors (14454419369).

101120120311 is a wasteful number, since it uses less digits than its factorization.

101120120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085993.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101120120311 its reverse (113021021101), we get a palindrome (214141141412).

The spelling of 101120120311 in words is "one hundred one billion, one hundred twenty million, one hundred twenty thousand, three hundred eleven".