10121010031 has 12 divisors (see below), whose sum is σ = 11139818256. Its totient is φ = 9188453120.

The previous prime is 10121010013. The next prime is 10121010049. The reversal of 10121010031 is 13001012101.

It is an interprime number because it is at equal distance from previous prime (10121010013) and next prime (10121010049).

It is not a de Polignac number, because 10121010031 - 2⁹ = 10121009519 is a prime.

It is a super-2 number, since 2×10121010031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121010931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33615 + ... + 146191.

It is an arithmetic number, because the mean of its divisors is an integer number (928318188).

Almost surely, 2^10121010031 is an apocalyptic number.

10121010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121010031 is a deficient number, since it is larger than the sum of its proper divisors (1018808225).

10121010031 is a wasteful number, since it uses less digits than its factorization.

10121010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113342 (or 113331 counting only the distinct ones).

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

Adding to 10121010031 its reverse (13001012101), we get a palindrome (23122022132).

The spelling of 10121010031 in words is "ten billion, one hundred twenty-one million, ten thousand, thirty-one".