10100001138 has 64 divisors (see below), whose sum is σ = 21633454080. Its totient is φ = 3132430592.

The previous prime is 10100001137. The next prime is 10100001143. The reversal of 10100001138 is 83110000101.

It is not an unprimeable number, because it can be changed into a prime (10100001137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9156295 + ... + 9157397.

It is an arithmetic number, because the mean of its divisors is an integer number (338022720).

Almost surely, 2^10100001138 is an apocalyptic number.

10100001138 is an abundant number, since it is smaller than the sum of its proper divisors (11533452942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100001138 is a wasteful number, since it uses less digits than its factorization.

10100001138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100001138 its reverse (83110000101), we get a palindrome (93210001239).

The spelling of 10100001138 in words is "ten billion, one hundred million, one thousand, one hundred thirty-eight".