102220221020101 has 8 divisors (see below), whose sum is σ = 108831148544664. Its totient is φ = 95675734978560.

The previous prime is 102220221020087. The next prime is 102220221020107. The reversal of 102220221020101 is 101020122022201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21982501102500 + 80237719917601 = 4688550^2 + 8957551^2 .

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 102220221020101 - 2¹⁵ = 102220220987333 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 (102220221020107) 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, 16610367580 + ... + 16610373733.

It is an arithmetic number, because the mean of its divisors is an integer number (13603893568083).

Almost surely, 2^{102220221020101} is an apocalyptic number.

It is an amenable number.

102220221020101 is a deficient number, since it is larger than the sum of its proper divisors (6610927524563).

102220221020101 is a wasteful number, since it uses less digits than its factorization.

102220221020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33220741511.

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

Adding to 102220221020101 its reverse (101020122022201), we get a palindrome (203240343042302).

The spelling of 102220221020101 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty-one million, twenty thousand, one hundred one".