1013201101021 has 2 divisors, whose sum is σ = 1013201101022. Its totient is φ = 1013201101020.

The previous prime is 1013201101013. The next prime is 1013201101027. The reversal of 1013201101021 is 1201011023101.

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., 977399163225 + 35801937796 = 988635^2 + 189214^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013201101021 - 2³ = 1013201101013 is a prime.

It is a super-2 number, since 2×1013201101021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013201100992 and 1013201101010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013201101027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506600550510 + 506600550511.

It is an arithmetic number, because the mean of its divisors is an integer number (506600550511).

Almost surely, 2^{1013201101021} is an apocalyptic number.

It is an amenable number.

1013201101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013201101021 is an equidigital number, since it uses as much as digits as its factorization.

1013201101021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1013201101021 its reverse (1201011023101), we get a palindrome (2214212124122).

The spelling of 1013201101021 in words is "one trillion, thirteen billion, two hundred one million, one hundred one thousand, twenty-one".