101112221114101 has 2 divisors, whose sum is σ = 101112221114102. Its totient is φ = 101112221114100.

The previous prime is 101112221114059. The next prime is 101112221114111. The reversal of 101112221114101 is 101411122211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87364633079025 + 13747588035076 = 9346905^2 + 3707774^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112221114101 - 2¹⁷ = 101112220983029 is a prime.

It is a super-2 number, since 2×101112221114101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112221114111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556110557050 + 50556110557051.

It is an arithmetic number, because the mean of its divisors is an integer number (50556110557051).

Almost surely, 2^{101112221114101} is an apocalyptic number.

It is an amenable number.

101112221114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112221114101 is an equidigital number, since it uses as much as digits as its factorization.

101112221114101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 101112221114101 its reverse (101411122211101), we get a palindrome (202523343325202).

The spelling of 101112221114101 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred fourteen thousand, one hundred one".