1001020000123 has 72 divisors (see below), whose sum is σ = 1316387860704. Its totient is φ = 756223902720.

The previous prime is 1001020000117. The next prime is 1001020000133. The reversal of 1001020000123 is 3210000201001.

1001020000123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001020000123 - 2²⁵ = 1000986445691 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001020000103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7932961 + ... + 8058157.

It is an arithmetic number, because the mean of its divisors is an integer number (18283164732).

Almost surely, 2^{1001020000123} is an apocalyptic number.

1001020000123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001020000123 is a deficient number, since it is larger than the sum of its proper divisors (315367860581).

1001020000123 is a wasteful number, since it uses less digits than its factorization.

1001020000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125285 (or 125261 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1001020000123 its reverse (3210000201001), we get a palindrome (4211020201124).

The spelling of 1001020000123 in words is "one trillion, one billion, twenty million, one hundred twenty-three", and thus it is an aban number.