1000221010101 has 18 divisors (see below), whose sum is σ = 1484866708962. Its totient is φ = 648791998560.

The previous prime is 1000221010093. The next prime is 1000221010127. The reversal of 1000221010101 is 1010101220001.

It is a happy number.

1000221010101 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 3 ways, for example, as 894397667076 + 105823343025 = 945726^2 + 325305^2 .

It is not a de Polignac number, because 1000221010101 - 2³ = 1000221010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000221010601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40577770 + ... + 40602411.

Almost surely, 2^{1000221010101} is an apocalyptic number.

It is an amenable number.

1000221010101 is a deficient number, since it is larger than the sum of its proper divisors (484645698861).

1000221010101 is an equidigital number, since it uses as much as digits as its factorization.

1000221010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81180261 (or 81180221 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000221010101 its reverse (1010101220001), we get a palindrome (2010322230102).

The spelling of 1000221010101 in words is "one trillion, two hundred twenty-one million, ten thousand, one hundred one".