1010020221101 has 8 divisors (see below), whose sum is σ = 1019618936760. Its totient is φ = 1000453771008.

The previous prime is 1010020221083. The next prime is 1010020221113. The reversal of 1010020221101 is 1011220200101.

1010020221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123042399076 + 886977822025 = 350774^2 + 941795^2 .

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 1010020221101 - 2²² = 1010016026797 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 (1010020221701) 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, 8003486 + ... + 8128703.

It is an arithmetic number, because the mean of its divisors is an integer number (127452367095).

Almost surely, 2^{1010020221101} is an apocalyptic number.

It is an amenable number.

1010020221101 is a deficient number, since it is larger than the sum of its proper divisors (9598715659).

1010020221101 is a wasteful number, since it uses less digits than its factorization.

1010020221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16132783.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010020221101 its reverse (1011220200101), we get a palindrome (2021240421202).

The spelling of 1010020221101 in words is "one trillion, ten billion, twenty million, two hundred twenty-one thousand, one hundred one".