101142077 has 2 divisors, whose sum is σ = 101142078. Its totient is φ = 101142076.

The previous prime is 101142049. The next prime is 101142079. The reversal of 101142077 is 770241101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100922116 + 219961 = 10046^2 + 469^2 .

It is a cyclic number.

It is not a de Polignac number, because 101142077 - 2²⁶ = 34033213 is a prime.

Together with 101142079, 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 (101142079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50571038 + 50571039.

It is an arithmetic number, because the mean of its divisors is an integer number (50571039).

Almost surely, 2^101142077 is an apocalyptic number.

It is an amenable number.

101142077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101142077 is an equidigital number, since it uses as much as digits as its factorization.

101142077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 101142077 is about 10056.9417319581. The cubic root of 101142077 is about 465.9192161044.

Adding to 101142077 its reverse (770241101), we get a palindrome (871383178).

The spelling of 101142077 in words is "one hundred one million, one hundred forty-two thousand, seventy-seven".