101100011121 has 48 divisors (see below), whose sum is σ = 151375479424. Its totient is φ = 64970906112.

The previous prime is 101100011083. The next prime is 101100011147. The reversal of 101100011121 is 121110001101.

It is not a de Polignac number, because 101100011121 - 2¹⁹ = 101099486833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

101100011121 is a modest number, since divided by 11121 gives 1011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101100012121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18289260 + ... + 18294786.

Almost surely, 2^101100011121 is an apocalyptic number.

It is an amenable number.

101100011121 is a deficient number, since it is larger than the sum of its proper divisors (50275468303).

101100011121 is a wasteful number, since it uses less digits than its factorization.

101100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100011121 its reverse (121110001101), we get a palindrome (222210012222).

It can be divided in two parts, 1011000 and 11121, that added together give a square (1022121 = 1011²).

The spelling of 101100011121 in words is "one hundred one billion, one hundred million, eleven thousand, one hundred twenty-one".