10001001210123 has 64 divisors (see below), whose sum is σ = 16935251235840. Its totient is φ = 5141763855360.

The previous prime is 10001001210107. The next prime is 10001001210139. The reversal of 10001001210123 is 32101210010001.

It is an interprime number because it is at equal distance from previous prime (10001001210107) and next prime (10001001210139).

It is not a de Polignac number, because 10001001210123 - 2⁴ = 10001001210107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001001210099 and 10001001210108.

It is not an unprimeable number, because it can be changed into a prime (10001001210163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866893 + ... + 4555601.

It is an arithmetic number, because the mean of its divisors is an integer number (264613300560).

Almost surely, 2^{10001001210123} is an apocalyptic number.

10001001210123 is a deficient number, since it is larger than the sum of its proper divisors (6934250025717).

10001001210123 is an equidigital number, since it uses as much as digits as its factorization.

10001001210123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688849 (or 3688827 counting only the distinct ones).

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

Adding to 10001001210123 its reverse (32101210010001), we get a palindrome (42102211220124).

The spelling of 10001001210123 in words is "ten trillion, one billion, one million, two hundred ten thousand, one hundred twenty-three".