102100202000123 has 2 divisors, whose sum is σ = 102100202000124. Its totient is φ = 102100202000122.

The previous prime is 102100202000057. The next prime is 102100202000257. The reversal of 102100202000123 is 321000202001201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102100202000123 - 2¹⁴ = 102100201983739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100202000098 and 102100202000107.

It is not a weakly prime, because it can be changed into another prime (102100202050123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050101000061 + 51050101000062.

It is an arithmetic number, because the mean of its divisors is an integer number (51050101000062).

Almost surely, 2^{102100202000123} is an apocalyptic number.

102100202000123 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100202000123 is an equidigital number, since it uses as much as digits as its factorization.

102100202000123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102100202000123 its reverse (321000202001201), we get a palindrome (423100404001324).

The spelling of 102100202000123 in words is "one hundred two trillion, one hundred billion, two hundred two million, one hundred twenty-three", and thus it is an aban number.