10001010201101 has 4 divisors (see below), whose sum is σ = 10006472251104. Its totient is φ = 9995548151100.

The previous prime is 10001010201067. The next prime is 10001010201173. The reversal of 10001010201101 is 10110201010001.

It is a happy number.

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 10001010201101 - 2¹⁸ = 10001009938957 is a prime.

It is a super-2 number, since 2×10001010201101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021010201101) 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, 2731022255 + ... + 2731025916.

It is an arithmetic number, because the mean of its divisors is an integer number (2501618062776).

Almost surely, 2^{10001010201101} is an apocalyptic number.

It is an amenable number.

10001010201101 is a deficient number, since it is larger than the sum of its proper divisors (5462050003).

10001010201101 is an equidigital number, since it uses as much as digits as its factorization.

10001010201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462050002.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001010201101 its reverse (10110201010001), we get a palindrome (20111211211102).

The spelling of 10001010201101 in words is "ten trillion, one billion, ten million, two hundred one thousand, one hundred one".