10102102100023 has 2 divisors, whose sum is σ = 10102102100024. Its totient is φ = 10102102100022.

The previous prime is 10102102100003. The next prime is 10102102100137. The reversal of 10102102100023 is 32000120120101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10102102100023 - 2¹³ = 10102102091831 is a prime.

It is a super-3 number, since 3×10102102100023³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102102099976 and 10102102100012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102102100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051051050011 + 5051051050012.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051050012).

Almost surely, 2^{10102102100023} is an apocalyptic number.

10102102100023 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102100023 is an equidigital number, since it uses as much as digits as its factorization.

10102102100023 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10102102100023 its reverse (32000120120101), we get a palindrome (42102222220124).

The spelling of 10102102100023 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thousand, twenty-three".