101112201103021 has 2 divisors, whose sum is σ = 101112201103022. Its totient is φ = 101112201103020.

The previous prime is 101112201103009. The next prime is 101112201103037. The reversal of 101112201103021 is 120301102211101.

It is a happy number.

It is an a-pointer prime, because the next prime (101112201103037) can be obtained adding 101112201103021 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73257936037225 + 27854265065796 = 8559085^2 + 5277714^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112201103021 - 2⁹ = 101112201102509 is a prime.

It is a super-3 number, since 3×101112201103021³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101112201102986 and 101112201103004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112201103061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556100551510 + 50556100551511.

It is an arithmetic number, because the mean of its divisors is an integer number (50556100551511).

Almost surely, 2^{101112201103021} is an apocalyptic number.

It is an amenable number.

101112201103021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112201103021 is an equidigital number, since it uses as much as digits as its factorization.

101112201103021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101112201103021 its reverse (120301102211101), we get a palindrome (221413303314122).

The spelling of 101112201103021 in words is "one hundred one trillion, one hundred twelve billion, two hundred one million, one hundred three thousand, twenty-one".