10201022010201 has 128 divisors (see below), whose sum is σ = 15825234124800. Its totient is φ = 5789403279360.

The previous prime is 10201022010161. The next prime is 10201022010217.

10201022010201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201022010201 - 2¹³ = 10201022002009 is a prime.

It is a super-4 number, since 4×10201022010201⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10201022014201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 720454960 + ... + 720469118.

It is an arithmetic number, because the mean of its divisors is an integer number (123634641600).

Almost surely, 2^{10201022010201} is an apocalyptic number.

10201022010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201022010201 is a deficient number, since it is larger than the sum of its proper divisors (5624212114599).

10201022010201 is a wasteful number, since it uses less digits than its factorization.

10201022010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1020102 and 2010201, that added together give a palindrome (3030303).

The spelling of 10201022010201 in words is "ten trillion, two hundred one billion, twenty-two million, ten thousand, two hundred one".