10201101021101 has 4 divisors (see below), whose sum is σ = 10212081755100. Its totient is φ = 10190120287104.

The previous prime is 10201101021077. The next prime is 10201101021103. The reversal of 10201101021101 is 10112010110201.

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 2288863384201 + 7912237636900 = 1512899^2 + 2812870^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201101021101 - 2³⁴ = 10183921151917 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 (10201101021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5490365606 + ... + 5490367463.

It is an arithmetic number, because the mean of its divisors is an integer number (2553020438775).

Almost surely, 2^{10201101021101} is an apocalyptic number.

It is an amenable number.

10201101021101 is a deficient number, since it is larger than the sum of its proper divisors (10980733999).

10201101021101 is an equidigital number, since it uses as much as digits as its factorization.

10201101021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10980733998.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10201101021101 its reverse (10112010110201), we get a palindrome (20313111131302).

The spelling of 10201101021101 in words is "ten trillion, two hundred one billion, one hundred one million, twenty-one thousand, one hundred one".