101002110222221 has 8 divisors (see below), whose sum is σ = 111424466812344. Its totient is φ = 90958748417280.

The previous prime is 101002110222131. The next prime is 101002110222229. The reversal of 101002110222221 is 122222011200101.

It can be written as a sum of positive squares in 4 ways, for example, as 2617810741225 + 98384299480996 = 1617965^2 + 9918886^2 .

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 101002110222221 - 2³⁸ = 100727232315277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101002110222221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002110222229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94748695736 + ... + 94748696801.

It is an arithmetic number, because the mean of its divisors is an integer number (13928058351543).

Almost surely, 2^{101002110222221} is an apocalyptic number.

It is an amenable number.

101002110222221 is a deficient number, since it is larger than the sum of its proper divisors (10422356590123).

101002110222221 is a wasteful number, since it uses less digits than its factorization.

101002110222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189497392591.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101002110222221 its reverse (122222011200101), we get a palindrome (223224121422322).

The spelling of 101002110222221 in words is "one hundred one trillion, two billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty-one".