10201441210020 has 144 divisors (see below), whose sum is σ = 32855898741120. Its totient is φ = 2553229513728.

The previous prime is 10201441210007. The next prime is 10201441210027. The reversal of 10201441210020 is 2001214410201.

10201441210020 is a `hidden beast` number, since 1 + 0 + 201 + 441 + 2 + 1 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×10201441210020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10201441209975 and 10201441210002.

It is not an unprimeable number, because it can be changed into a prime (10201441210027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544642 + ... + 5741721.

It is an arithmetic number, because the mean of its divisors is an integer number (228165963480).

Almost surely, 2^{10201441210020} is an apocalyptic number.

10201441210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201441210020 is an abundant number, since it is smaller than the sum of its proper divisors (22654457531100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201441210020 is a wasteful number, since it uses less digits than its factorization.

10201441210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286754 (or 9286749 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10201441210020 its reverse (2001214410201), we get a palindrome (12202655620221).

The spelling of 10201441210020 in words is "ten trillion, two hundred one billion, four hundred forty-one million, two hundred ten thousand, twenty".