10101100100101 has 4 divisors (see below), whose sum is σ = 10101142998412. Its totient is φ = 10101057201792.

The previous prime is 10101100100081. The next prime is 10101100100131. The reversal of 10101100100101 is 10100100110101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6493858373025 + 3607241727076 = 2548305^2 + 1899274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100100101 - 2²¹ = 10101098002949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100100131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21093996 + ... + 21567541.

It is an arithmetic number, because the mean of its divisors is an integer number (2525285749603).

Almost surely, 2^{10101100100101} is an apocalyptic number.

It is an amenable number.

10101100100101 is a deficient number, since it is larger than the sum of its proper divisors (42898311).

10101100100101 is an equidigital number, since it uses as much as digits as its factorization.

10101100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42898310.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101100100101 its reverse (10100100110101), we get a palindrome (20201200210202).

The spelling of 10101100100101 in words is "ten trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred one".