101021003113 has 2 divisors, whose sum is σ = 101021003114. Its totient is φ = 101021003112.

The previous prime is 101021003107. The next prime is 101021003123. The reversal of 101021003113 is 311300120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101014637584 + 6365529 = 317828^2 + 2523^2 .

It is an emirp because it is prime and its reverse (311300120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021003113 - 2¹⁷ = 101020872041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021003093 and 101021003102.

It is not a weakly prime, because it can be changed into another prime (101021003123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510501556 + 50510501557.

It is an arithmetic number, because the mean of its divisors is an integer number (50510501557).

Almost surely, 2^101021003113 is an apocalyptic number.

It is an amenable number.

101021003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021003113 is an equidigital number, since it uses as much as digits as its factorization.

101021003113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101021003113 its reverse (311300120101), we get a palindrome (412321123214).

The spelling of 101021003113 in words is "one hundred one billion, twenty-one million, three thousand, one hundred thirteen".