10101022100101 has 4 divisors (see below), whose sum is σ = 10222721161632. Its totient is φ = 9979323038572.

The previous prime is 10101022100077. The next prime is 10101022100107. The reversal of 10101022100101 is 10100122010101.

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 10101022100101 - 2¹⁷ = 10101021969029 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 (10101022100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60849530641 + ... + 60849530806.

It is an arithmetic number, because the mean of its divisors is an integer number (2555680290408).

Almost surely, 2^{10101022100101} is an apocalyptic number.

It is an amenable number.

10101022100101 is a deficient number, since it is larger than the sum of its proper divisors (121699061531).

10101022100101 is an equidigital number, since it uses as much as digits as its factorization.

10101022100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121699061530.

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

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

The spelling of 10101022100101 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred thousand, one hundred one".