100142241077 has 2 divisors, whose sum is σ = 100142241078. Its totient is φ = 100142241076.

The previous prime is 100142241019. The next prime is 100142241079. The reversal of 100142241077 is 770142241001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78511479601 + 21630761476 = 280199^2 + 147074^2 .

It is a cyclic number.

It is not a de Polignac number, because 100142241077 - 2¹⁰ = 100142240053 is a prime.

It is a super-2 number, since 2×100142241077² (a number of 23 digits) contains 22 as substring.

Together with 100142241079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100142241079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50071120538 + 50071120539.

It is an arithmetic number, because the mean of its divisors is an integer number (50071120539).

Almost surely, 2^100142241077 is an apocalyptic number.

It is an amenable number.

100142241077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100142241077 is an equidigital number, since it uses as much as digits as its factorization.

100142241077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 29.

Adding to 100142241077 its reverse (770142241001), we get a palindrome (870284482078).

The spelling of 100142241077 in words is "one hundred billion, one hundred forty-two million, two hundred forty-one thousand, seventy-seven".