100112202221077 has 2 divisors, whose sum is σ = 100112202221078. Its totient is φ = 100112202221076.

The previous prime is 100112202221071. The next prime is 100112202221117. The reversal of 100112202221077 is 770122202211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100015480599076 + 96721622001 = 10000774^2 + 311001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112202221077 is a prime.

It is a super-2 number, since 2×100112202221077² (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 (100112202221071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056101110538 + 50056101110539.

It is an arithmetic number, because the mean of its divisors is an integer number (50056101110539).

Almost surely, 2^{100112202221077} is an apocalyptic number.

It is an amenable number.

100112202221077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112202221077 is an equidigital number, since it uses as much as digits as its factorization.

100112202221077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 100112202221077 its reverse (770122202211001), we get a palindrome (870234404432078).

The spelling of 100112202221077 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, two hundred twenty-one thousand, seventy-seven".