10126462101 has 32 divisors (see below), whose sum is σ = 15604113408. Its totient is φ = 5721710400.

The previous prime is 10126462079. The next prime is 10126462123.

It is a happy number.

10126462101 is nontrivially palindromic in base 10.

10126462101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10126462079) and next prime (10126462123).

It is not a de Polignac number, because 10126462101 - 2⁶ = 10126462037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126461101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1870140 + ... + 1875546.

It is an arithmetic number, because the mean of its divisors is an integer number (487628544).

Almost surely, 2^10126462101 is an apocalyptic number.

It is an amenable number.

10126462101 is a deficient number, since it is larger than the sum of its proper divisors (5477651307).

10126462101 is a wasteful number, since it uses less digits than its factorization.

10126462101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10126462101 in words is "ten billion, one hundred twenty-six million, four hundred sixty-two thousand, one hundred one".