1002122210101 has 8 divisors (see below), whose sum is σ = 1004448703160. Its totient is φ = 999797971392.

The previous prime is 1002122210081. The next prime is 1002122210129. The reversal of 1002122210101 is 1010122212001.

It can be written as a sum of positive squares in 4 ways, for example, as 295665150001 + 706457060100 = 543751^2 + 840510^2 .

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 1002122210101 - 2⁵ = 1002122210069 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 (1002122210801) 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, 328135 + ... + 1453243.

It is an arithmetic number, because the mean of its divisors is an integer number (125556087895).

Almost surely, 2^{1002122210101} is an apocalyptic number.

It is an amenable number.

1002122210101 is a deficient number, since it is larger than the sum of its proper divisors (2326493059).

1002122210101 is a wasteful number, since it uses less digits than its factorization.

1002122210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127175.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002122210101 its reverse (1010122212001), we get a palindrome (2012244422102).

The spelling of 1002122210101 in words is "one trillion, two billion, one hundred twenty-two million, two hundred ten thousand, one hundred one".