123852101 has 2 divisors, whose sum is σ = 123852102. Its totient is φ = 123852100.

The previous prime is 123852067. The next prime is 123852107. The reversal of 123852101 is 101258321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92659876 + 31192225 = 9626^2 + 5585^2 .

It is an emirp because it is prime and its reverse (101258321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123852101 - 2¹⁴ = 123835717 is a prime.

It is a super-2 number, since 2×123852101² = 30678685844228402, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123852107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61926050 + 61926051.

It is an arithmetic number, because the mean of its divisors is an integer number (61926051).

Almost surely, 2^123852101 is an apocalyptic number.

It is an amenable number.

123852101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123852101 is an equidigital number, since it uses as much as digits as its factorization.

123852101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 123852101 is about 11128.8858831421. The cubic root of 123852101 is about 498.4647588942.

The spelling of 123852101 in words is "one hundred twenty-three million, eight hundred fifty-two thousand, one hundred one".