101000103121 has 4 divisors (see below), whose sum is σ = 102000104244. Its totient is φ = 100000102000.

The previous prime is 101000103107. The next prime is 101000103131. The reversal of 101000103121 is 121301000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 98806492225 + 2193610896 = 314335^2 + 46836^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000103121 - 2⁵ = 101000103089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000103098 and 101000103107.

It is not an unprimeable number, because it can be changed into a prime (101000103131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500000410 + ... + 500000611.

It is an arithmetic number, because the mean of its divisors is an integer number (25500026061).

Almost surely, 2^101000103121 is an apocalyptic number.

It is an amenable number.

101000103121 is a deficient number, since it is larger than the sum of its proper divisors (1000001123).

101000103121 is a wasteful number, since it uses less digits than its factorization.

101000103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000001122.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101000103121 its reverse (121301000101), we get a palindrome (222301103222).

The spelling of 101000103121 in words is "one hundred one billion, one hundred three thousand, one hundred twenty-one".