101211121 has 8 divisors (see below), whose sum is σ = 112980384. Its totient is φ = 89869920.

The previous prime is 101211059. The next prime is 101211151. The reversal of 101211121 is 121112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211098 and 101211107.

It is not an unprimeable number, because it can be changed into a prime (101211151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106516 + ... + 107461.

It is an arithmetic number, because the mean of its divisors is an integer number (14122548).

Almost surely, 2^101211121 is an apocalyptic number.

101211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211121 is a deficient number, since it is larger than the sum of its proper divisors (11769263).

101211121 is a wasteful number, since it uses less digits than its factorization.

101211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214031.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 101211121 is about 10060.3738002124. The cubic root of 101211121 is about 466.0252109258.

Adding to 101211121 its reverse (121112101), we get a palindrome (222323222).

The spelling of 101211121 in words is "one hundred one million, two hundred eleven thousand, one hundred twenty-one".