101120122011 has 16 divisors (see below), whose sum is σ = 139487450400. Its totient is φ = 65083484928.

The previous prime is 101120121961. The next prime is 101120122067. The reversal of 101120122011 is 110221021101.

It is not a de Polignac number, because 101120122011 - 2¹⁹ = 101119597723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120122711) 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, 1211455 + ... + 1292231.

It is an arithmetic number, because the mean of its divisors is an integer number (8717965650).

Almost surely, 2^101120122011 is an apocalyptic number.

101120122011 is a deficient number, since it is larger than the sum of its proper divisors (38367328389).

101120122011 is a wasteful number, since it uses less digits than its factorization.

101120122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95198.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120122011 its reverse (110221021101), we get a palindrome (211341143112).

The spelling of 101120122011 in words is "one hundred one billion, one hundred twenty million, one hundred twenty-two thousand, eleven".