101011101101121 has 8 divisors (see below), whose sum is σ = 134681515048800. Its totient is φ = 67340710610432.

The previous prime is 101011101101117. The next prime is 101011101101123. The reversal of 101011101101121 is 121101101110101.

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 101011101101121 - 2² = 101011101101117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101011101101097 and 101011101101106.

It is not an unprimeable number, because it can be changed into a prime (101011101101123) 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, 11692801 + ... + 18404993.

It is an arithmetic number, because the mean of its divisors is an integer number (16835189381100).

Almost surely, 2^{101011101101121} is an apocalyptic number.

It is an amenable number.

101011101101121 is a deficient number, since it is larger than the sum of its proper divisors (33670413947679).

101011101101121 is an equidigital number, since it uses as much as digits as its factorization.

101011101101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11728495.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101011101101121 its reverse (121101101110101), we get a palindrome (222112202211222).

The spelling of 101011101101121 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred twenty-one".