900180101 has 2 divisors, whose sum is σ = 900180102. Its totient is φ = 900180100.

The previous prime is 900180059. The next prime is 900180109. The reversal of 900180101 is 101081009.

900180101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899940001 + 240100 = 29999^2 + 490^2 .

It is a cyclic number.

It is not a de Polignac number, because 900180101 - 2²⁶ = 833071237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900180109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450090050 + 450090051.

It is an arithmetic number, because the mean of its divisors is an integer number (450090051).

Almost surely, 2^900180101 is an apocalyptic number.

It is an amenable number.

900180101 is a deficient number, since it is larger than the sum of its proper divisors (1).

900180101 is an equidigital number, since it uses as much as digits as its factorization.

900180101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 900180101 is about 30003.0015331800. The cubic root of 900180101 is about 965.5537823857.

The spelling of 900180101 in words is "nine hundred million, one hundred eighty thousand, one hundred one".