101011121101 has 16 divisors (see below), whose sum is σ = 116715860928. Its totient is φ = 86397062400.

The previous prime is 101011121087. The next prime is 101011121117. The reversal of 101011121101 is 101121110101.

It is not a de Polignac number, because 101011121101 - 2⁵ = 101011121069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011124101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464671 + ... + 646483.

It is an arithmetic number, because the mean of its divisors is an integer number (7294741308).

Almost surely, 2^101011121101 is an apocalyptic number.

101011121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011121101 is a deficient number, since it is larger than the sum of its proper divisors (15704739827).

101011121101 is a wasteful number, since it uses less digits than its factorization.

101011121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184812.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011121101 its reverse (101121110101), we get a palindrome (202132231202).

It can be divided in two parts, 1010 and 11121101, that added together give a palindrome (11122111).

The spelling of 101011121101 in words is "one hundred one billion, eleven million, one hundred twenty-one thousand, one hundred one".