101120012122011 has 64 divisors (see below), whose sum is σ = 138570692198400. Its totient is φ = 65574284555520.

The previous prime is 101120012121977. The next prime is 101120012122033. The reversal of 101120012122011 is 110221210021101.

It is a happy number.

It is not a de Polignac number, because 101120012122011 - 2²² = 101120007927707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120012122061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3832177360 + ... + 3832203746.

It is an arithmetic number, because the mean of its divisors is an integer number (2165167065600).

Almost surely, 2^{101120012122011} is an apocalyptic number.

101120012122011 is a deficient number, since it is larger than the sum of its proper divisors (37450680076389).

101120012122011 is a wasteful number, since it uses less digits than its factorization.

101120012122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27416.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101120012122011 its reverse (110221210021101), we get a palindrome (211341222143112).

The spelling of 101120012122011 in words is "one hundred one trillion, one hundred twenty billion, twelve million, one hundred twenty-two thousand, eleven".