102002122022101 has 16 divisors (see below), whose sum is σ = 123132772753408. Its totient is φ = 82642379425200.

The previous prime is 102002122022089. The next prime is 102002122022261. The reversal of 102002122022101 is 101220221200201.

It is a happy number.

It is not a de Polignac number, because 102002122022101 - 2²⁹ = 102001585151189 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 (102002122022401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465756505 + ... + 5465775166.

It is an arithmetic number, because the mean of its divisors is an integer number (7695798297088).

Almost surely, 2^{102002122022101} is an apocalyptic number.

It is an amenable number.

102002122022101 is a deficient number, since it is larger than the sum of its proper divisors (21130650731307).

102002122022101 is a wasteful number, since it uses less digits than its factorization.

102002122022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931531752.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102002122022101 its reverse (101220221200201), we get a palindrome (203222343222302).

The spelling of 102002122022101 in words is "one hundred two trillion, two billion, one hundred twenty-two million, twenty-two thousand, one hundred one".