101100222201121 has 16 divisors (see below), whose sum is σ = 119951077192128. Its totient is φ = 83999353752000.

The previous prime is 101100222201119. The next prime is 101100222201149. The reversal of 101100222201121 is 121102222001101.

It is a cyclic number.

It is not a de Polignac number, because 101100222201121 - 2¹ = 101100222201119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100222201095 and 101100222201104.

It is not an unprimeable number, because it can be changed into a prime (101100222201151) 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, 3499958631 + ... + 3499987516.

It is an arithmetic number, because the mean of its divisors is an integer number (7496942324508).

Almost surely, 2^{101100222201121} is an apocalyptic number.

101100222201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100222201121 is a deficient number, since it is larger than the sum of its proper divisors (18850854991007).

101100222201121 is a wasteful number, since it uses less digits than its factorization.

101100222201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999946272.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101100222201121 its reverse (121102222001101), we get a palindrome (222202444202222).

The spelling of 101100222201121 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty-one".