1030100031101 has 2 divisors, whose sum is σ = 1030100031102. Its totient is φ = 1030100031100.

The previous prime is 1030100031013. The next prime is 1030100031187. The reversal of 1030100031101 is 1011300010301.

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., 1027893850201 + 2206180900 = 1013851^2 + 46970^2 .

It is a cyclic number.

It is not a de Polignac number, because 1030100031101 - 2¹⁰ = 1030100030077 is a prime.

It is a super-2 number, since 2×1030100031101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030100021101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515050015550 + 515050015551.

It is an arithmetic number, because the mean of its divisors is an integer number (515050015551).

Almost surely, 2^{1030100031101} is an apocalyptic number.

It is an amenable number.

1030100031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030100031101 is an equidigital number, since it uses as much as digits as its factorization.

1030100031101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1030100031101 its reverse (1011300010301), we get a palindrome (2041400041402).

The spelling of 1030100031101 in words is "one trillion, thirty billion, one hundred million, thirty-one thousand, one hundred one".