101222121 has 64 divisors (see below), whose sum is σ = 186310656. Its totient is φ = 47174400.

The previous prime is 101222113. The next prime is 101222137. The reversal of 101222121 is 121222101.

It is not a de Polignac number, because 101222121 - 2³ = 101222113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101222097 and 101222106.

It is not an unprimeable number, because it can be changed into a prime (101222141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110656 + ... + 111566.

It is an arithmetic number, because the mean of its divisors is an integer number (2911104).

Almost surely, 2^101222121 is an apocalyptic number.

101222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222121 is a deficient number, since it is larger than the sum of its proper divisors (85088535).

101222121 is a wasteful number, since it uses less digits than its factorization.

101222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101222121 is about 10060.9204847270. The cubic root of 101222121 is about 466.0420934303.

Adding to 101222121 its reverse (121222101), we get a palindrome (222444222).

It can be divided in two parts, 101 and 222121, that added together give a palindrome (222222).

The spelling of 101222121 in words is "one hundred one million, two hundred twenty-two thousand, one hundred twenty-one".