101121112201011 has 16 divisors (see below), whose sum is σ = 154094160576000. Its totient is φ = 57781675156608.

The previous prime is 101121112201009. The next prime is 101121112201063. The reversal of 101121112201011 is 110102211121101.

It is not a de Polignac number, because 101121112201011 - 2¹ = 101121112201009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121112201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75046726 + ... + 76382283.

It is an arithmetic number, because the mean of its divisors is an integer number (9630885036000).

Almost surely, 2^{101121112201011} is an apocalyptic number.

101121112201011 is a deficient number, since it is larger than the sum of its proper divisors (52973048374989).

101121112201011 is a wasteful number, since it uses less digits than its factorization.

101121112201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151460818.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121112201011 its reverse (110102211121101), we get a palindrome (211223323322112).

The spelling of 101121112201011 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred one thousand, eleven".