10201011010201 has 8 divisors (see below), whose sum is σ = 11128417848000. Its totient is φ = 9273611205840.

The previous prime is 10201011010193. The next prime is 10201011010301.

10201011010201 is nontrivially palindromic in base 10.

10201011010201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10201011010201 - 2³ = 10201011010193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201011010301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543860 + ... + 4773418.

It is an arithmetic number, because the mean of its divisors is an integer number (1391052231000).

Almost surely, 2^{10201011010201} is an apocalyptic number.

10201011010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201011010201 is a deficient number, since it is larger than the sum of its proper divisors (927406837799).

10201011010201 is a wasteful number, since it uses less digits than its factorization.

10201011010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516719.

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

It can be divided in two parts, 1020101 and 1010201, that multiplied together give a palindrome (1030507050301).

The spelling of 10201011010201 in words is "ten trillion, two hundred one billion, eleven million, ten thousand, two hundred one".