101010100011031 has 2 divisors, whose sum is σ = 101010100011032. Its totient is φ = 101010100011030.

The previous prime is 101010100011001. The next prime is 101010100011103. The reversal of 101010100011031 is 130110001010101.

Together with next prime (101010100011103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101010100011031 - 2¹⁹ = 101010099486743 is a prime.

It is a super-2 number, since 2×101010100011031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101010100010999 and 101010100011017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010100011001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050005515 + 50505050005516.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050005516).

Almost surely, 2^{101010100011031} is an apocalyptic number.

101010100011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100011031 is an equidigital number, since it uses as much as digits as its factorization.

101010100011031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101010100011031 its reverse (130110001010101), we get a palindrome (231120101021132).

The spelling of 101010100011031 in words is "one hundred one trillion, ten billion, one hundred million, eleven thousand, thirty-one".