101110112011021 has 2 divisors, whose sum is σ = 101110112011022. Its totient is φ = 101110112011020.

The previous prime is 101110112010989. The next prime is 101110112011039. The reversal of 101110112011021 is 120110211011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60970157938921 + 40139954072100 = 7808339^2 + 6335610^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110112011021 - 2⁵ = 101110112010989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110112010992 and 101110112011010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110112011421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555056005510 + 50555056005511.

It is an arithmetic number, because the mean of its divisors is an integer number (50555056005511).

Almost surely, 2^{101110112011021} is an apocalyptic number.

It is an amenable number.

101110112011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110112011021 is an equidigital number, since it uses as much as digits as its factorization.

101110112011021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110112011021 its reverse (120110211011101), we get a palindrome (221220323022122).

It can be divided in two parts, 1011101 and 12011021, that multiplied together give a palindrome (12144355344121).

The spelling of 101110112011021 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, eleven thousand, twenty-one".