10100103121 has 32 divisors (see below), whose sum is σ = 11135956896. Its totient is φ = 9123840000.

The previous prime is 10100103107. The next prime is 10100103179. The reversal of 10100103121 is 12130100101.

It can be written as a sum of positive squares in 16 ways, for example, as 12110400 + 10087992721 = 3480^2 + 100439^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100103121 - 2¹⁵ = 10100070353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100103098 and 10100103107.

It is not an unprimeable number, because it can be changed into a prime (10100103821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7645141 + ... + 7646461.

It is an arithmetic number, because the mean of its divisors is an integer number (347998653).

Almost surely, 2^10100103121 is an apocalyptic number.

It is an amenable number.

10100103121 is a deficient number, since it is larger than the sum of its proper divisors (1035853775).

10100103121 is a wasteful number, since it uses less digits than its factorization.

10100103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573.

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

Adding to 10100103121 its reverse (12130100101), we get a palindrome (22230203222).

The spelling of 10100103121 in words is "ten billion, one hundred million, one hundred three thousand, one hundred twenty-one".