101121101120011 has 32 divisors (see below), whose sum is σ = 123259080430080. Its totient is φ = 80981818384896.

The previous prime is 101121101119993. The next prime is 101121101120027. The reversal of 101121101120011 is 110021101121101.

It is a cyclic number.

It is not a de Polignac number, because 101121101120011 - 2⁹ = 101121101119499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121101119973 and 101121101120000.

It is not an unprimeable number, because it can be changed into a prime (101121101120051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13627545 + ... + 19696501.

It is an arithmetic number, because the mean of its divisors is an integer number (3851846263440).

Almost surely, 2^{101121101120011} is an apocalyptic number.

101121101120011 is a deficient number, since it is larger than the sum of its proper divisors (22137979310069).

101121101120011 is a wasteful number, since it uses less digits than its factorization.

101121101120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070003.

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

Adding to 101121101120011 its reverse (110021101121101), we get a palindrome (211142202241112).

The spelling of 101121101120011 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty thousand, eleven".