10121031011 has 32 divisors (see below), whose sum is σ = 12603601920. Its totient is φ = 7913718144.

The previous prime is 10121030999. The next prime is 10121031031. The reversal of 10121031011 is 11013012101.

It is a happy number.

10121031011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121031011 - 2¹⁴ = 10121014627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121030983 and 10121031001.

It is not an unprimeable number, because it can be changed into a prime (10121031031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6644696 + ... + 6646218.

It is an arithmetic number, because the mean of its divisors is an integer number (393862560).

Almost surely, 2^10121031011 is an apocalyptic number.

10121031011 is a deficient number, since it is larger than the sum of its proper divisors (2482570909).

10121031011 is a wasteful number, since it uses less digits than its factorization.

10121031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10121031011 its reverse (11013012101), we get a palindrome (21134043112).

The spelling of 10121031011 in words is "ten billion, one hundred twenty-one million, thirty-one thousand, eleven".