1010102112123 has 16 divisors (see below), whose sum is σ = 1450468140576. Its totient is φ = 621573396480.

The previous prime is 1010102112113. The next prime is 1010102112143. The reversal of 1010102112123 is 3212112010101.

It is not a de Polignac number, because 1010102112123 - 2⁸ = 1010102111867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010102112113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316161 + ... + 1456077.

It is an arithmetic number, because the mean of its divisors is an integer number (90654258786).

Almost surely, 2^{1010102112123} is an apocalyptic number.

1010102112123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1010102112123 is a deficient number, since it is larger than the sum of its proper divisors (440366028453).

1010102112123 is a wasteful number, since it uses less digits than its factorization.

1010102112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162654.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1010102112123 its reverse (3212112010101), we get a palindrome (4222214122224).

The spelling of 1010102112123 in words is "one trillion, ten billion, one hundred two million, one hundred twelve thousand, one hundred twenty-three".