10100122010101 has 4 divisors (see below), whose sum is σ = 10250870099872. Its totient is φ = 9949373920332.

The previous prime is 10100122010081. The next prime is 10100122010131. The reversal of 10100122010101 is 10101022100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10100122010101 - 2³³ = 10091532075509 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 (10100122010131) 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, 75374044785 + ... + 75374044918.

It is an arithmetic number, because the mean of its divisors is an integer number (2562717524968).

Almost surely, 2^{10100122010101} is an apocalyptic number.

It is an amenable number.

10100122010101 is a deficient number, since it is larger than the sum of its proper divisors (150748089771).

10100122010101 is an equidigital number, since it uses as much as digits as its factorization.

10100122010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150748089770.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100122010101 its reverse (10101022100101), we get a palindrome (20201144110202).

The spelling of 10100122010101 in words is "ten trillion, one hundred billion, one hundred twenty-two million, ten thousand, one hundred one".