101012111001013 has 2 divisors, whose sum is σ = 101012111001014. Its totient is φ = 101012111001012.

The previous prime is 101012111000981. The next prime is 101012111001023. The reversal of 101012111001013 is 310100111210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100145793100369 + 866317900644 = 10007287^2 + 930762^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012111001013 - 2⁵ = 101012111000981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012111000984 and 101012111001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012111001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055500506 + 50506055500507.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055500507).

Almost surely, 2^{101012111001013} is an apocalyptic number.

It is an amenable number.

101012111001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012111001013 is an equidigital number, since it uses as much as digits as its factorization.

101012111001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101012111001013 its reverse (310100111210101), we get a palindrome (411112222211114).

It can be divided in two parts, 10101211 and 1001013, that added together give a square (11102224 = 3332²).

The spelling of 101012111001013 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one thousand, thirteen".