10111312029 has 64 divisors (see below), whose sum is σ = 16770378240. Its totient is φ = 5276759040.

The previous prime is 10111312027. The next prime is 10111312031. The reversal of 10111312029 is 92021311101.

It is a happy number.

10111312029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10111312027) and next prime (10111312031).

It is not a de Polignac number, because 10111312029 - 2¹ = 10111312027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10111311996 and 10111312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111312021) 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 63 ways as a sum of consecutive naturals, for example, 12315439 + ... + 12316259.

It is an arithmetic number, because the mean of its divisors is an integer number (262037160).

Almost surely, 2^10111312029 is an apocalyptic number.

It is an amenable number.

10111312029 is a deficient number, since it is larger than the sum of its proper divisors (6659066211).

10111312029 is a wasteful number, since it uses less digits than its factorization.

10111312029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270.

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 10111312029 in words is "ten billion, one hundred eleven million, three hundred twelve thousand, twenty-nine".