101222121121 has 16 divisors (see below), whose sum is σ = 116284132800. Its totient is φ = 87140793600.

The previous prime is 101222121053. The next prime is 101222121137. The reversal of 101222121121 is 121121222101.

It is a cyclic number.

It is not a de Polignac number, because 101222121121 - 2⁹ = 101222120609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222121095 and 101222121104.

It is not an unprimeable number, because it can be changed into a prime (101222121151) 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, 410965 + ... + 609373.

It is an arithmetic number, because the mean of its divisors is an integer number (7267758300).

Almost surely, 2^101222121121 is an apocalyptic number.

101222121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222121121 is a deficient number, since it is larger than the sum of its proper divisors (15062011679).

101222121121 is a wasteful number, since it uses less digits than its factorization.

101222121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200880.

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

Adding to 101222121121 its reverse (121121222101), we get a palindrome (222343343222).

It can be divided in two parts, 101 and 222121121, that added together give a palindrome (222121222).

The spelling of 101222121121 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".