101312121 has 8 divisors (see below), whose sum is σ = 136322560. Its totient is φ = 66921552.

The previous prime is 101312117. The next prime is 101312137. The reversal of 101312121 is 121213101.

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

It is not a de Polignac number, because 101312121 - 2² = 101312117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101312097 and 101312106.

It is not an unprimeable number, because it can be changed into a prime (101312111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154585 + ... + 155238.

It is an arithmetic number, because the mean of its divisors is an integer number (17040320).

Almost surely, 2^101312121 is an apocalyptic number.

It is an amenable number.

101312121 is a deficient number, since it is larger than the sum of its proper divisors (35010439).

101312121 is a wasteful number, since it uses less digits than its factorization.

101312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309935.

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

The square root of 101312121 is about 10065.3922427295. The cubic root of 101312121 is about 466.1801770920.

Adding to 101312121 its reverse (121213101), we get a palindrome (222525222).

It can be divided in two parts, 10 and 1312121, that added together give a palindrome (1312131).

The spelling of 101312121 in words is "one hundred one million, three hundred twelve thousand, one hundred twenty-one".