101023123 has 2 divisors, whose sum is σ = 101023124. Its totient is φ = 101023122.

The previous prime is 101023081. The next prime is 101023127. The reversal of 101023123 is 321320101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101023123 - 2²¹ = 98925971 is a prime.

It is not a weakly prime, because it can be changed into another prime (101023127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511561 + 50511562.

It is an arithmetic number, because the mean of its divisors is an integer number (50511562).

Almost surely, 2^101023123 is an apocalyptic number.

101023123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023123 is an equidigital number, since it uses as much as digits as its factorization.

101023123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101023123 is about 10051.0259675319. The cubic root of 101023123 is about 465.7364873527.

Adding to 101023123 its reverse (321320101), we get a palindrome (422343224).

It can be divided in two parts, 10102 and 3123, that added together give a square (13225 = 115²).

The spelling of 101023123 in words is "one hundred one million, twenty-three thousand, one hundred twenty-three".