1013100101021 has 2 divisors, whose sum is σ = 1013100101022. Its totient is φ = 1013100101020.

The previous prime is 1013100100973. The next prime is 1013100101029. The reversal of 1013100101021 is 1201010013101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009291483225 + 3808617796 = 1004635^2 + 61714^2 .

It is an emirp because it is prime and its reverse (1201010013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013100101021 - 2¹⁴ = 1013100084637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013100100993 and 1013100101011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013100101029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506550050510 + 506550050511.

It is an arithmetic number, because the mean of its divisors is an integer number (506550050511).

Almost surely, 2^{1013100101021} is an apocalyptic number.

It is an amenable number.

1013100101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013100101021 is an equidigital number, since it uses as much as digits as its factorization.

1013100101021 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 11.

Adding to 1013100101021 its reverse (1201010013101), we get a palindrome (2214110114122).

The spelling of 1013100101021 in words is "one trillion, thirteen billion, one hundred million, one hundred one thousand, twenty-one".