10001012010103 has 16 divisors (see below), whose sum is σ = 10462654651680. Its totient is φ = 9547347511296.

The previous prime is 10001012010071. The next prime is 10001012010131. The reversal of 10001012010103 is 30101021010001.

It is a cyclic number.

It is not a de Polignac number, because 10001012010103 - 2⁵ = 10001012010071 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001012010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012010133) 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, 1184976 + ... + 4626682.

It is an arithmetic number, because the mean of its divisors is an integer number (653915915730).

Almost surely, 2^{10001012010103} is an apocalyptic number.

10001012010103 is a deficient number, since it is larger than the sum of its proper divisors (461642641577).

10001012010103 is a wasteful number, since it uses less digits than its factorization.

10001012010103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442866.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10001012010103 its reverse (30101021010001), we get a palindrome (40102033020104).

The spelling of 10001012010103 in words is "ten trillion, one billion, twelve million, ten thousand, one hundred three".