101135953 has 2 divisors, whose sum is σ = 101135954. Its totient is φ = 101135952.

The previous prime is 101135939. The next prime is 101135959. The reversal of 101135953 is 359531101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 795664 = 10017^2 + 892^2 .

It is a cyclic number.

It is not a de Polignac number, because 101135953 - 2⁵ = 101135921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101135959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50567976 + 50567977.

It is an arithmetic number, because the mean of its divisors is an integer number (50567977).

Almost surely, 2^101135953 is an apocalyptic number.

It is an amenable number.

101135953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101135953 is an equidigital number, since it uses as much as digits as its factorization.

101135953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 101135953 is about 10056.6372610331. The cubic root of 101135953 is about 465.9098123464.

The spelling of 101135953 in words is "one hundred one million, one hundred thirty-five thousand, nine hundred fifty-three".