10112621101 has 6 divisors (see below), whose sum is σ = 11115525806. Its totient is φ = 9193291800.

The previous prime is 10112621089. The next prime is 10112621137.

10112621101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 9727087876 + 385533225 = 98626^2 + 19635^2 .

It is not a de Polignac number, because 10112621101 - 2⁵ = 10112621069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112621501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41787570 + ... + 41787811.

Almost surely, 2^10112621101 is an apocalyptic number.

10112621101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112621101 is a deficient number, since it is larger than the sum of its proper divisors (1002904705).

10112621101 is an equidigital number, since it uses as much as digits as its factorization.

10112621101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83575403 (or 83575392 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

The spelling of 10112621101 in words is "ten billion, one hundred twelve million, six hundred twenty-one thousand, one hundred one".