101053109 has 2 divisors, whose sum is σ = 101053110. Its totient is φ = 101053108.

The previous prime is 101053091. The next prime is 101053111. The reversal of 101053109 is 901350101.

Together with previous prime (101053091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97574884 + 3478225 = 9878^2 + 1865^2 .

It is a cyclic number.

It is not a de Polignac number, because 101053109 - 2²⁰ = 100004533 is a prime.

Together with 101053111, 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 (101053159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526554 + 50526555.

It is an arithmetic number, because the mean of its divisors is an integer number (50526555).

Almost surely, 2^101053109 is an apocalyptic number.

It is an amenable number.

101053109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101053109 is an equidigital number, since it uses as much as digits as its factorization.

101053109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 20.

The square root of 101053109 is about 10052.5175453714. The cubic root of 101053109 is about 465.7825632488.

The spelling of 101053109 in words is "one hundred one million, fifty-three thousand, one hundred nine".