10123632101 has 12 divisors (see below), whose sum is σ = 11130065100. Its totient is φ = 9201287040.

The previous prime is 10123632097. The next prime is 10123632119.

10123632101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9672919201 + 450712900 = 98351^2 + 21230^2 .

It is not a de Polignac number, because 10123632101 - 2² = 10123632097 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123632191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1046555 + ... + 1056183.

It is an arithmetic number, because the mean of its divisors is an integer number (927505425).

Almost surely, 2^10123632101 is an apocalyptic number.

10123632101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123632101 is a deficient number, since it is larger than the sum of its proper divisors (1006432999).

10123632101 is an equidigital number, since it uses as much as digits as its factorization.

10123632101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340 (or 18329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 10123632101 in words is "ten billion, one hundred twenty-three million, six hundred thirty-two thousand, one hundred one".