101100222011121 has 32 divisors (see below), whose sum is σ = 141672234654720. Its totient is φ = 64049339438784.

The previous prime is 101100222011027. The next prime is 101100222011123. The reversal of 101100222011121 is 121110222001101.

It is a happy number.

It is not a de Polignac number, because 101100222011121 - 2²² = 101100217816817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100222011121.

It is not an unprimeable number, because it can be changed into a prime (101100222011123) 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 31 ways as a sum of consecutive naturals, for example, 74757540 + ... + 76097898.

It is an arithmetic number, because the mean of its divisors is an integer number (4427257332960).

Almost surely, 2^{101100222011121} is an apocalyptic number.

It is an amenable number.

101100222011121 is a deficient number, since it is larger than the sum of its proper divisors (40572012643599).

101100222011121 is a wasteful number, since it uses less digits than its factorization.

101100222011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356245.

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

Adding to 101100222011121 its reverse (121110222001101), we get a palindrome (222210444012222).

The spelling of 101100222011121 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, eleven thousand, one hundred twenty-one".