1000110102123 has 32 divisors (see below), whose sum is σ = 1464222251520. Its totient is φ = 602163394560.

The previous prime is 1000110102113. The next prime is 1000110102133. The reversal of 1000110102123 is 3212010110001.

It is an interprime number because it is at equal distance from previous prime (1000110102113) and next prime (1000110102133).

It is not a de Polignac number, because 1000110102123 - 2¹⁷ = 1000109971051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000110102099 and 1000110102108.

It is not an unprimeable number, because it can be changed into a prime (1000110102113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39150411 + ... + 39175947.

It is an arithmetic number, because the mean of its divisors is an integer number (45756945360).

Almost surely, 2^{1000110102123} is an apocalyptic number.

1000110102123 is a deficient number, since it is larger than the sum of its proper divisors (464112149397).

1000110102123 is a wasteful number, since it uses less digits than its factorization.

1000110102123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33267.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1000110102123 its reverse (3212010110001), we get a palindrome (4212120212124).

The spelling of 1000110102123 in words is "one trillion, one hundred ten million, one hundred two thousand, one hundred twenty-three".